Least Common Multiple of 6624 and 6631

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6624 and 6631 the smallest integer that is 43923744 that is divisible by both numbers.

Least Common Multiple (LCM) of 6624 and 6631 is 43923744.

LCM(6624,6631) = 43923744

LCM of 6624 and 6631

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

LCM of:
and

Least Common Multiple of 6624 and 6631

LCM of 6624 and 6631 is 43923744

Least common multiple can be found by multiplying the highest exponent prime factors of 6624 and 6631. First we will calculate the prime factors of 6624 and 6631.

Prime Factorization of 6624


2 6624
2 3312
2 1656
2 828
2 414
3 207
3 69
23 23
1

Prime factors of 6624 are 2, 3,23. Prime factorization of 6624 in exponential form is:

6624 = 25×32×231

Prime Factorization of 6631


19 6631
349 349
1

Prime factors of 6631 are 19,349. Prime factorization of 6631 in exponential form is:

6631 = 191×3491

Now multiplying the highest exponent prime factors to calculate the LCM of 6624 and 6631.

LCM(6624,6631) = 25×32×191×231×3491
LCM(6624,6631) = 43923744

Factors of 6624

List of positive integer factors of 6624 that divides 6624 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 23, 24, 32, 36, 46, 48, 69, 72, 92, 96, 138, 144, 184, 207, 276, 288, 368, 414, 552, 736, 828, 1104, 1656, 2208, 3312, 6624

Factors of 6631

List of positive integer factors of 6631 that divides 6631 without a remainder.

1, 19, 349, 6631

Least Common Multiple of 6624 and 6631 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6624 and 6631, than apply into the LCM equation.

GCF(6624,6631) = 1
LCM(6624,6631) = ( 6624 × 6631) / 1
LCM(6624,6631) = 43923744 / 1
LCM(6624,6631) = 43923744

Properties of LCM 6624 and 6631

(i) The LCM of 6631 and 6624 is associative

LCM of 6624 and 6631 = LCM of 6631 and 6624

Related Least Common Multiples of 6624

Related Least Common Multiples of 6631

Frequently Asked Questions on LCM of 6624 and 6631

1. What is the LCM of 6624 and 6631?

Answer: LCM of 6624 and 6631 is 43923744.

2. What are the Factors of 6624?

Answer: Factors of 6624 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 23, 24, 32, 36, 46, 48, 69, 72, 92, 96, 138, 144, 184, 207, 276, 288, 368, 414, 552, 736, 828, 1104, 1656, 2208, 3312, 6624. There are 36 integers that are factors of 6624. The greatest factor of 6624 is 6624.

3. What are the Factors of 6631?

Answer: Factors of 6631 are 1, 19, 349, 6631. There are 4 integers that are factors of 6631. The greatest factor of 6631 is 6631.

4. How to Find the LCM of 6624 and 6631?

Answer:

Least Common Multiple of 6624 and 6631 = 43923744

Step 1: Find the prime factorization of 6624

6624 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 23

Step 2: Find the prime factorization of 6631

6631 = 19 x 349

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

LCM = 43923744 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 19 x 23 x 349

Step 4: Therefore, the least common multiple of 6624 and 6631 is 43923744.