Least Common Multiple of 635 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 635 and 636 the smallest integer that is 403860 that is divisible by both numbers.

Least Common Multiple (LCM) of 635 and 636 is 403860.

LCM(635,636) = 403860

LCM of 635 and 636

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

LCM of:
and

Least Common Multiple of 635 and 636

LCM of 635 and 636 is 403860

Least common multiple can be found by multiplying the highest exponent prime factors of 635 and 636. First we will calculate the prime factors of 635 and 636.

Prime Factorization of 635


5 635
127 127
1

Prime factors of 635 are 5,127. Prime factorization of 635 in exponential form is:

635 = 51×1271

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 635 and 636.

LCM(635,636) = 22×31×51×531×1271
LCM(635,636) = 403860

Factors of 635

List of positive integer factors of 635 that divides 635 without a remainder.

1, 5, 127, 635

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 635 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 635 and 636, than apply into the LCM equation.

GCF(635,636) = 1
LCM(635,636) = ( 635 × 636) / 1
LCM(635,636) = 403860 / 1
LCM(635,636) = 403860

Properties of LCM 635 and 636

(i) The LCM of 636 and 635 is associative

LCM of 635 and 636 = LCM of 636 and 635

Related Least Common Multiples of 635

Related Least Common Multiples of 636

Frequently Asked Questions on LCM of 635 and 636

1. What is the LCM of 635 and 636?

Answer: LCM of 635 and 636 is 403860.

2. What are the Factors of 635?

Answer: Factors of 635 are 1, 5, 127, 635. There are 4 integers that are factors of 635. The greatest factor of 635 is 635.

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 635 and 636?

Answer:

Least Common Multiple of 635 and 636 = 403860

Step 1: Find the prime factorization of 635

635 = 5 x 127

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 = 403860 = 2 x 2 x 3 x 5 x 53 x 127

Step 4: Therefore, the least common multiple of 635 and 636 is 403860.