Least Common Multiple of 310440 and 310448

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 310440 and 310448 the smallest integer that is 12046934640 that is divisible by both numbers.

Least Common Multiple (LCM) of 310440 and 310448 is 12046934640.

LCM(310440,310448) = 12046934640

LCM of 310440 and 310448

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

LCM of:
and

Least Common Multiple of 310440 and 310448

LCM of 310440 and 310448 is 12046934640

Least common multiple can be found by multiplying the highest exponent prime factors of 310440 and 310448. First we will calculate the prime factors of 310440 and 310448.

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

Prime Factorization of 310448


2 310448
2 155224
2 77612
2 38806
19403 19403
1

Prime factors of 310448 are 2,19403. Prime factorization of 310448 in exponential form is:

310448 = 24×194031

Now multiplying the highest exponent prime factors to calculate the LCM of 310440 and 310448.

LCM(310440,310448) = 24×31×51×131×1991×194031
LCM(310440,310448) = 12046934640

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

Factors of 310448

List of positive integer factors of 310448 that divides 310448 without a remainder.

1, 2, 4, 8, 16, 19403, 38806, 77612, 155224, 310448

Least Common Multiple of 310440 and 310448 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 310440 and 310448, than apply into the LCM equation.

GCF(310440,310448) = 8
LCM(310440,310448) = ( 310440 × 310448) / 8
LCM(310440,310448) = 96375477120 / 8
LCM(310440,310448) = 12046934640

Properties of LCM 310440 and 310448

(i) The LCM of 310448 and 310440 is associative

LCM of 310440 and 310448 = LCM of 310448 and 310440

Related Least Common Multiples of 310440

Related Least Common Multiples of 310448

Frequently Asked Questions on LCM of 310440 and 310448

1. What is the LCM of 310440 and 310448?

Answer: LCM of 310440 and 310448 is 12046934640.

2. 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.

3. What are the Factors of 310448?

Answer: Factors of 310448 are 1, 2, 4, 8, 16, 19403, 38806, 77612, 155224, 310448. There are 10 integers that are factors of 310448. The greatest factor of 310448 is 310448.

4. How to Find the LCM of 310440 and 310448?

Answer:

Least Common Multiple of 310440 and 310448 = 12046934640

Step 1: Find the prime factorization of 310440

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

Step 2: Find the prime factorization of 310448

310448 = 2 x 2 x 2 x 2 x 19403

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

LCM = 12046934640 = 2 x 2 x 2 x 2 x 3 x 5 x 13 x 199 x 19403

Step 4: Therefore, the least common multiple of 310440 and 310448 is 12046934640.