Least Common Multiple of 310432 and 310440

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 310432 and 310440 the smallest integer that is 12046313760 that is divisible by both numbers.

Least Common Multiple (LCM) of 310432 and 310440 is 12046313760.

LCM(310432,310440) = 12046313760

LCM of 310432 and 310440

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 310432 and 310440

LCM of 310432 and 310440 is 12046313760

Least common multiple can be found by multiplying the highest exponent prime factors of 310432 and 310440. First we will calculate the prime factors of 310432 and 310440.

Prime Factorization of 310432


2 310432
2 155216
2 77608
2 38804
2 19402
89 9701
109 109
1

Prime factors of 310432 are 2, 89,109. Prime factorization of 310432 in exponential form is:

310432 = 25×891×1091

Prime Factorization of 310440


2 310440
2 155220
2 77610
3 38805
5 12935
13 2587
199 199
1

Prime factors of 310440 are 2, 3, 5, 13,199. Prime factorization of 310440 in exponential form is:

310440 = 23×31×51×131×1991

Now multiplying the highest exponent prime factors to calculate the LCM of 310432 and 310440.

LCM(310432,310440) = 25×31×51×131×891×1091×1991
LCM(310432,310440) = 12046313760

Factors of 310432

List of positive integer factors of 310432 that divides 310432 without a remainder.

1, 2, 4, 8, 16, 32, 89, 109, 178, 218, 356, 436, 712, 872, 1424, 1744, 2848, 3488, 9701, 19402, 38804, 77608, 155216, 310432

Factors of 310440

List of positive integer factors of 310440 that divides 310440 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 20, 24, 26, 30, 39, 40, 52, 60, 65, 78, 104, 120, 130, 156, 195, 199, 260, 312, 390, 398, 520, 597, 780, 796, 995, 1194, 1560, 1592, 1990, 2388, 2587, 2985, 3980, 4776, 5174, 5970, 7761, 7960, 10348, 11940, 12935, 15522, 20696, 23880, 25870, 31044, 38805, 51740, 62088, 77610, 103480, 155220, 310440

Least Common Multiple of 310432 and 310440 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 310432 and 310440, than apply into the LCM equation.

GCF(310432,310440) = 8
LCM(310432,310440) = ( 310432 × 310440) / 8
LCM(310432,310440) = 96370510080 / 8
LCM(310432,310440) = 12046313760

Properties of LCM 310432 and 310440

(i) The LCM of 310440 and 310432 is associative

LCM of 310432 and 310440 = LCM of 310440 and 310432

Related Least Common Multiples of 310432

Related Least Common Multiples of 310440

Frequently Asked Questions on LCM of 310432 and 310440

1. What is the LCM of 310432 and 310440?

Answer: LCM of 310432 and 310440 is 12046313760.

2. What are the Factors of 310432?

Answer: Factors of 310432 are 1, 2, 4, 8, 16, 32, 89, 109, 178, 218, 356, 436, 712, 872, 1424, 1744, 2848, 3488, 9701, 19402, 38804, 77608, 155216, 310432. There are 24 integers that are factors of 310432. The greatest factor of 310432 is 310432.

3. What are the Factors of 310440?

Answer: Factors of 310440 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 20, 24, 26, 30, 39, 40, 52, 60, 65, 78, 104, 120, 130, 156, 195, 199, 260, 312, 390, 398, 520, 597, 780, 796, 995, 1194, 1560, 1592, 1990, 2388, 2587, 2985, 3980, 4776, 5174, 5970, 7761, 7960, 10348, 11940, 12935, 15522, 20696, 23880, 25870, 31044, 38805, 51740, 62088, 77610, 103480, 155220, 310440. There are 64 integers that are factors of 310440. The greatest factor of 310440 is 310440.

4. How to Find the LCM of 310432 and 310440?

Answer:

Least Common Multiple of 310432 and 310440 = 12046313760

Step 1: Find the prime factorization of 310432

310432 = 2 x 2 x 2 x 2 x 2 x 89 x 109

Step 2: Find the prime factorization of 310440

310440 = 2 x 2 x 2 x 3 x 5 x 13 x 199

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 12046313760 = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 13 x 89 x 109 x 199

Step 4: Therefore, the least common multiple of 310432 and 310440 is 12046313760.