Least Common Multiple of 637 and 644

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 637 and 644 the smallest integer that is 58604 that is divisible by both numbers.

Least Common Multiple (LCM) of 637 and 644 is 58604.

LCM(637,644) = 58604

LCM of 637 and 644

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

LCM of:
and

Least Common Multiple of 637 and 644

LCM of 637 and 644 is 58604

Least common multiple can be found by multiplying the highest exponent prime factors of 637 and 644. First we will calculate the prime factors of 637 and 644.

Prime Factorization of 637


7 637
7 91
13 13
1

Prime factors of 637 are 7,13. Prime factorization of 637 in exponential form is:

637 = 72×131

Prime Factorization of 644


2 644
2 322
7 161
23 23
1

Prime factors of 644 are 2, 7,23. Prime factorization of 644 in exponential form is:

644 = 22×71×231

Now multiplying the highest exponent prime factors to calculate the LCM of 637 and 644.

LCM(637,644) = 22×72×131×231
LCM(637,644) = 58604

Factors of 637

List of positive integer factors of 637 that divides 637 without a remainder.

1, 7, 13, 49, 91, 637

Factors of 644

List of positive integer factors of 644 that divides 644 without a remainder.

1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

Least Common Multiple of 637 and 644 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 637 and 644, than apply into the LCM equation.

GCF(637,644) = 7
LCM(637,644) = ( 637 × 644) / 7
LCM(637,644) = 410228 / 7
LCM(637,644) = 58604

Properties of LCM 637 and 644

(i) The LCM of 644 and 637 is associative

LCM of 637 and 644 = LCM of 644 and 637

Related Least Common Multiples of 637

Related Least Common Multiples of 644

Frequently Asked Questions on LCM of 637 and 644

1. What is the LCM of 637 and 644?

Answer: LCM of 637 and 644 is 58604.

2. What are the Factors of 637?

Answer: Factors of 637 are 1, 7, 13, 49, 91, 637. There are 6 integers that are factors of 637. The greatest factor of 637 is 637.

3. What are the Factors of 644?

Answer: Factors of 644 are 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644. There are 12 integers that are factors of 644. The greatest factor of 644 is 644.

4. How to Find the LCM of 637 and 644?

Answer:

Least Common Multiple of 637 and 644 = 58604

Step 1: Find the prime factorization of 637

637 = 7 x 7 x 13

Step 2: Find the prime factorization of 644

644 = 2 x 2 x 7 x 23

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

LCM = 58604 = 2 x 2 x 7 x 7 x 13 x 23

Step 4: Therefore, the least common multiple of 637 and 644 is 58604.