Least Common Multiple of 629 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 629 and 636 the smallest integer that is 400044 that is divisible by both numbers.

Least Common Multiple (LCM) of 629 and 636 is 400044.

LCM(629,636) = 400044

LCM of 629 and 636

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

LCM of:
and

Least Common Multiple of 629 and 636

LCM of 629 and 636 is 400044

Least common multiple can be found by multiplying the highest exponent prime factors of 629 and 636. First we will calculate the prime factors of 629 and 636.

Prime Factorization of 629


17 629
37 37
1

Prime factors of 629 are 17,37. Prime factorization of 629 in exponential form is:

629 = 171×371

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 629 and 636.

LCM(629,636) = 22×31×171×371×531
LCM(629,636) = 400044

Factors of 629

List of positive integer factors of 629 that divides 629 without a remainder.

1, 17, 37, 629

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 629 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 629 and 636, than apply into the LCM equation.

GCF(629,636) = 1
LCM(629,636) = ( 629 × 636) / 1
LCM(629,636) = 400044 / 1
LCM(629,636) = 400044

Properties of LCM 629 and 636

(i) The LCM of 636 and 629 is associative

LCM of 629 and 636 = LCM of 636 and 629

Related Least Common Multiples of 629

Related Least Common Multiples of 636

Frequently Asked Questions on LCM of 629 and 636

1. What is the LCM of 629 and 636?

Answer: LCM of 629 and 636 is 400044.

2. What are the Factors of 629?

Answer: Factors of 629 are 1, 17, 37, 629. There are 4 integers that are factors of 629. The greatest factor of 629 is 629.

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 629 and 636?

Answer:

Least Common Multiple of 629 and 636 = 400044

Step 1: Find the prime factorization of 629

629 = 17 x 37

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 = 400044 = 2 x 2 x 3 x 17 x 37 x 53

Step 4: Therefore, the least common multiple of 629 and 636 is 400044.