Least Common Multiple of 6637 and 6644

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6637 and 6644 the smallest integer that is 44096228 that is divisible by both numbers.

Least Common Multiple (LCM) of 6637 and 6644 is 44096228.

LCM(6637,6644) = 44096228

LCM of 6637 and 6644

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

LCM of:
and

Least Common Multiple of 6637 and 6644

LCM of 6637 and 6644 is 44096228

Least common multiple can be found by multiplying the highest exponent prime factors of 6637 and 6644. First we will calculate the prime factors of 6637 and 6644.

Prime Factorization of 6637


6637 6637
1

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

6637 = 66371

Prime Factorization of 6644


2 6644
2 3322
11 1661
151 151
1

Prime factors of 6644 are 2, 11,151. Prime factorization of 6644 in exponential form is:

6644 = 22×111×1511

Now multiplying the highest exponent prime factors to calculate the LCM of 6637 and 6644.

LCM(6637,6644) = 22×111×1511×66371
LCM(6637,6644) = 44096228

Factors of 6637

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

1, 6637

Factors of 6644

List of positive integer factors of 6644 that divides 6644 without a remainder.

1, 2, 4, 11, 22, 44, 151, 302, 604, 1661, 3322, 6644

Least Common Multiple of 6637 and 6644 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6637 and 6644, than apply into the LCM equation.

GCF(6637,6644) = 1
LCM(6637,6644) = ( 6637 × 6644) / 1
LCM(6637,6644) = 44096228 / 1
LCM(6637,6644) = 44096228

Properties of LCM 6637 and 6644

(i) The LCM of 6644 and 6637 is associative

LCM of 6637 and 6644 = LCM of 6644 and 6637

Related Least Common Multiples of 6637

Related Least Common Multiples of 6644

Frequently Asked Questions on LCM of 6637 and 6644

1. What is the LCM of 6637 and 6644?

Answer: LCM of 6637 and 6644 is 44096228.

2. 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.

3. What are the Factors of 6644?

Answer: Factors of 6644 are 1, 2, 4, 11, 22, 44, 151, 302, 604, 1661, 3322, 6644. There are 12 integers that are factors of 6644. The greatest factor of 6644 is 6644.

4. How to Find the LCM of 6637 and 6644?

Answer:

Least Common Multiple of 6637 and 6644 = 44096228

Step 1: Find the prime factorization of 6637

6637 = 6637

Step 2: Find the prime factorization of 6644

6644 = 2 x 2 x 11 x 151

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

LCM = 44096228 = 2 x 2 x 11 x 151 x 6637

Step 4: Therefore, the least common multiple of 6637 and 6644 is 44096228.