Least Common Multiple of 310432 and 310438

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 310438 the smallest integer that is 48184944608 that is divisible by both numbers.

Least Common Multiple (LCM) of 310432 and 310438 is 48184944608.

LCM(310432,310438) = 48184944608

LCM of 310432 and 310438

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

LCM of:
and

Least Common Multiple of 310432 and 310438

LCM of 310432 and 310438 is 48184944608

Least common multiple can be found by multiplying the highest exponent prime factors of 310432 and 310438. First we will calculate the prime factors of 310432 and 310438.

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 310438


2 310438
155219 155219
1

Prime factors of 310438 are 2,155219. Prime factorization of 310438 in exponential form is:

310438 = 21×1552191

Now multiplying the highest exponent prime factors to calculate the LCM of 310432 and 310438.

LCM(310432,310438) = 25×891×1091×1552191
LCM(310432,310438) = 48184944608

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 310438

List of positive integer factors of 310438 that divides 310438 without a remainder.

1, 2, 155219, 310438

Least Common Multiple of 310432 and 310438 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 310438, than apply into the LCM equation.

GCF(310432,310438) = 2
LCM(310432,310438) = ( 310432 × 310438) / 2
LCM(310432,310438) = 96369889216 / 2
LCM(310432,310438) = 48184944608

Properties of LCM 310432 and 310438

(i) The LCM of 310438 and 310432 is associative

LCM of 310432 and 310438 = LCM of 310438 and 310432

Related Least Common Multiples of 310432

Related Least Common Multiples of 310438

Frequently Asked Questions on LCM of 310432 and 310438

1. What is the LCM of 310432 and 310438?

Answer: LCM of 310432 and 310438 is 48184944608.

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 310438?

Answer: Factors of 310438 are 1, 2, 155219, 310438. There are 4 integers that are factors of 310438. The greatest factor of 310438 is 310438.

4. How to Find the LCM of 310432 and 310438?

Answer:

Least Common Multiple of 310432 and 310438 = 48184944608

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 310438

310438 = 2 x 155219

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

LCM = 48184944608 = 2 x 2 x 2 x 2 x 2 x 89 x 109 x 155219

Step 4: Therefore, the least common multiple of 310432 and 310438 is 48184944608.