Least Common Multiple of 635 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 635 and 637 the smallest integer that is 404495 that is divisible by both numbers.

Least Common Multiple (LCM) of 635 and 637 is 404495.

LCM(635,637) = 404495

LCM of 635 and 637

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

LCM of:
and

Least Common Multiple of 635 and 637

LCM of 635 and 637 is 404495

Least common multiple can be found by multiplying the highest exponent prime factors of 635 and 637. First we will calculate the prime factors of 635 and 637.

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 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 635 and 637.

LCM(635,637) = 51×72×131×1271
LCM(635,637) = 404495

Factors of 635

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

1, 5, 127, 635

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 635 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 635 and 637, than apply into the LCM equation.

GCF(635,637) = 1
LCM(635,637) = ( 635 × 637) / 1
LCM(635,637) = 404495 / 1
LCM(635,637) = 404495

Properties of LCM 635 and 637

(i) The LCM of 637 and 635 is associative

LCM of 635 and 637 = LCM of 637 and 635

Related Least Common Multiples of 635

Related Least Common Multiples of 637

Frequently Asked Questions on LCM of 635 and 637

1. What is the LCM of 635 and 637?

Answer: LCM of 635 and 637 is 404495.

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 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 635 and 637?

Answer:

Least Common Multiple of 635 and 637 = 404495

Step 1: Find the prime factorization of 635

635 = 5 x 127

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 = 404495 = 5 x 7 x 7 x 13 x 127

Step 4: Therefore, the least common multiple of 635 and 637 is 404495.