Least Common Multiple of 6632 and 6637

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6632 and 6637 the smallest integer that is 44016584 that is divisible by both numbers.

Least Common Multiple (LCM) of 6632 and 6637 is 44016584.

LCM(6632,6637) = 44016584

LCM of 6632 and 6637

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

LCM of:
and

Least Common Multiple of 6632 and 6637

LCM of 6632 and 6637 is 44016584

Least common multiple can be found by multiplying the highest exponent prime factors of 6632 and 6637. First we will calculate the prime factors of 6632 and 6637.

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

Prime Factorization of 6637


6637 6637
1

Prime factors of 6637 are 6637. Prime factorization of 6637 in exponential form is:

6637 = 66371

Now multiplying the highest exponent prime factors to calculate the LCM of 6632 and 6637.

LCM(6632,6637) = 23×8291×66371
LCM(6632,6637) = 44016584

Factors of 6632

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

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

Factors of 6637

List of positive integer factors of 6637 that divides 6637 without a remainder.

1, 6637

Least Common Multiple of 6632 and 6637 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6632 and 6637, than apply into the LCM equation.

GCF(6632,6637) = 1
LCM(6632,6637) = ( 6632 × 6637) / 1
LCM(6632,6637) = 44016584 / 1
LCM(6632,6637) = 44016584

Properties of LCM 6632 and 6637

(i) The LCM of 6637 and 6632 is associative

LCM of 6632 and 6637 = LCM of 6637 and 6632

Related Least Common Multiples of 6632

Related Least Common Multiples of 6637

Frequently Asked Questions on LCM of 6632 and 6637

1. What is the LCM of 6632 and 6637?

Answer: LCM of 6632 and 6637 is 44016584.

2. 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.

3. What are the Factors of 6637?

Answer: Factors of 6637 are 1, 6637. There are 2 integers that are factors of 6637. The greatest factor of 6637 is 6637.

4. How to Find the LCM of 6632 and 6637?

Answer:

Least Common Multiple of 6632 and 6637 = 44016584

Step 1: Find the prime factorization of 6632

6632 = 2 x 2 x 2 x 829

Step 2: Find the prime factorization of 6637

6637 = 6637

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

LCM = 44016584 = 2 x 2 x 2 x 829 x 6637

Step 4: Therefore, the least common multiple of 6632 and 6637 is 44016584.