Least Common Multiple of 630 and 637

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 630 and 637 the smallest integer that is 57330 that is divisible by both numbers.

Least Common Multiple (LCM) of 630 and 637 is 57330.

LCM(630,637) = 57330

LCM of 630 and 637

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

LCM of:
and

Least Common Multiple of 630 and 637

LCM of 630 and 637 is 57330

Least common multiple can be found by multiplying the highest exponent prime factors of 630 and 637. First we will calculate the prime factors of 630 and 637.

Prime Factorization of 630


2 630
3 315
3 105
5 35
7 7
1

Prime factors of 630 are 2, 3, 5,7. Prime factorization of 630 in exponential form is:

630 = 21×32×51×71

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

Now multiplying the highest exponent prime factors to calculate the LCM of 630 and 637.

LCM(630,637) = 21×32×51×72×131
LCM(630,637) = 57330

Factors of 630

List of positive integer factors of 630 that divides 630 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

Factors of 637

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

1, 7, 13, 49, 91, 637

Least Common Multiple of 630 and 637 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 630 and 637, than apply into the LCM equation.

GCF(630,637) = 7
LCM(630,637) = ( 630 × 637) / 7
LCM(630,637) = 401310 / 7
LCM(630,637) = 57330

Properties of LCM 630 and 637

(i) The LCM of 637 and 630 is associative

LCM of 630 and 637 = LCM of 637 and 630

Related Least Common Multiples of 630

Related Least Common Multiples of 637

Frequently Asked Questions on LCM of 630 and 637

1. What is the LCM of 630 and 637?

Answer: LCM of 630 and 637 is 57330.

2. What are the Factors of 630?

Answer: Factors of 630 are 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630. There are 24 integers that are factors of 630. The greatest factor of 630 is 630.

3. 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.

4. How to Find the LCM of 630 and 637?

Answer:

Least Common Multiple of 630 and 637 = 57330

Step 1: Find the prime factorization of 630

630 = 2 x 3 x 3 x 5 x 7

Step 2: Find the prime factorization of 637

637 = 7 x 7 x 13

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

LCM = 57330 = 2 x 3 x 3 x 5 x 7 x 7 x 13

Step 4: Therefore, the least common multiple of 630 and 637 is 57330.