Least Common Multiple of 630 and 636

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 636 the smallest integer that is 66780 that is divisible by both numbers.

Least Common Multiple (LCM) of 630 and 636 is 66780.

LCM(630,636) = 66780

LCM of 630 and 636

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

LCM of:
and

Least Common Multiple of 630 and 636

LCM of 630 and 636 is 66780

Least common multiple can be found by multiplying the highest exponent prime factors of 630 and 636. First we will calculate the prime factors of 630 and 636.

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 636


2 636
2 318
3 159
53 53
1

Prime factors of 636 are 2, 3,53. Prime factorization of 636 in exponential form is:

636 = 22×31×531

Now multiplying the highest exponent prime factors to calculate the LCM of 630 and 636.

LCM(630,636) = 22×32×51×71×531
LCM(630,636) = 66780

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 636

List of positive integer factors of 636 that divides 636 without a remainder.

1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636

Least Common Multiple of 630 and 636 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 636, than apply into the LCM equation.

GCF(630,636) = 6
LCM(630,636) = ( 630 × 636) / 6
LCM(630,636) = 400680 / 6
LCM(630,636) = 66780

Properties of LCM 630 and 636

(i) The LCM of 636 and 630 is associative

LCM of 630 and 636 = LCM of 636 and 630

Related Least Common Multiples of 630

Related Least Common Multiples of 636

Frequently Asked Questions on LCM of 630 and 636

1. What is the LCM of 630 and 636?

Answer: LCM of 630 and 636 is 66780.

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 636?

Answer: Factors of 636 are 1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636. There are 12 integers that are factors of 636. The greatest factor of 636 is 636.

4. How to Find the LCM of 630 and 636?

Answer:

Least Common Multiple of 630 and 636 = 66780

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 636

636 = 2 x 2 x 3 x 53

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

LCM = 66780 = 2 x 2 x 3 x 3 x 5 x 7 x 53

Step 4: Therefore, the least common multiple of 630 and 636 is 66780.