Least Common Multiple of 6624 and 6632

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 6632 the smallest integer that is 5491296 that is divisible by both numbers.

Least Common Multiple (LCM) of 6624 and 6632 is 5491296.

LCM(6624,6632) = 5491296

LCM of 6624 and 6632

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

LCM of:
and

Least Common Multiple of 6624 and 6632

LCM of 6624 and 6632 is 5491296

Least common multiple can be found by multiplying the highest exponent prime factors of 6624 and 6632. First we will calculate the prime factors of 6624 and 6632.

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 6632


2 6632
2 3316
2 1658
829 829
1

Prime factors of 6632 are 2,829. Prime factorization of 6632 in exponential form is:

6632 = 23×8291

Now multiplying the highest exponent prime factors to calculate the LCM of 6624 and 6632.

LCM(6624,6632) = 25×32×231×8291
LCM(6624,6632) = 5491296

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 6632

List of positive integer factors of 6632 that divides 6632 without a remainder.

1, 2, 4, 8, 829, 1658, 3316, 6632

Least Common Multiple of 6624 and 6632 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 6632, than apply into the LCM equation.

GCF(6624,6632) = 8
LCM(6624,6632) = ( 6624 × 6632) / 8
LCM(6624,6632) = 43930368 / 8
LCM(6624,6632) = 5491296

Properties of LCM 6624 and 6632

(i) The LCM of 6632 and 6624 is associative

LCM of 6624 and 6632 = LCM of 6632 and 6624

Related Least Common Multiples of 6624

Related Least Common Multiples of 6632

Frequently Asked Questions on LCM of 6624 and 6632

1. What is the LCM of 6624 and 6632?

Answer: LCM of 6624 and 6632 is 5491296.

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 6632?

Answer: Factors of 6632 are 1, 2, 4, 8, 829, 1658, 3316, 6632. There are 8 integers that are factors of 6632. The greatest factor of 6632 is 6632.

4. How to Find the LCM of 6624 and 6632?

Answer:

Least Common Multiple of 6624 and 6632 = 5491296

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 6632

6632 = 2 x 2 x 2 x 829

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

LCM = 5491296 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 23 x 829

Step 4: Therefore, the least common multiple of 6624 and 6632 is 5491296.