Least Common Multiple of 636 and 641

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 636 and 641 the smallest integer that is 407676 that is divisible by both numbers.

Least Common Multiple (LCM) of 636 and 641 is 407676.

LCM(636,641) = 407676

LCM of 636 and 641

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

LCM of:
and

Least Common Multiple of 636 and 641

LCM of 636 and 641 is 407676

Least common multiple can be found by multiplying the highest exponent prime factors of 636 and 641. First we will calculate the prime factors of 636 and 641.

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

Prime Factorization of 641


641 641
1

Prime factors of 641 are 641. Prime factorization of 641 in exponential form is:

641 = 6411

Now multiplying the highest exponent prime factors to calculate the LCM of 636 and 641.

LCM(636,641) = 22×31×531×6411
LCM(636,641) = 407676

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

Factors of 641

List of positive integer factors of 641 that divides 641 without a remainder.

1, 641

Least Common Multiple of 636 and 641 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 636 and 641, than apply into the LCM equation.

GCF(636,641) = 1
LCM(636,641) = ( 636 × 641) / 1
LCM(636,641) = 407676 / 1
LCM(636,641) = 407676

Properties of LCM 636 and 641

(i) The LCM of 641 and 636 is associative

LCM of 636 and 641 = LCM of 641 and 636

Related Least Common Multiples of 636

Related Least Common Multiples of 641

Frequently Asked Questions on LCM of 636 and 641

1. What is the LCM of 636 and 641?

Answer: LCM of 636 and 641 is 407676.

2. 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.

3. What are the Factors of 641?

Answer: Factors of 641 are 1, 641. There are 2 integers that are factors of 641. The greatest factor of 641 is 641.

4. How to Find the LCM of 636 and 641?

Answer:

Least Common Multiple of 636 and 641 = 407676

Step 1: Find the prime factorization of 636

636 = 2 x 2 x 3 x 53

Step 2: Find the prime factorization of 641

641 = 641

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

LCM = 407676 = 2 x 2 x 3 x 53 x 641

Step 4: Therefore, the least common multiple of 636 and 641 is 407676.