Least Common Multiple of 634 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 634 and 637 the smallest integer that is 403858 that is divisible by both numbers.

Least Common Multiple (LCM) of 634 and 637 is 403858.

LCM(634,637) = 403858

LCM of 634 and 637

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

LCM of:
and

Least Common Multiple of 634 and 637

LCM of 634 and 637 is 403858

Least common multiple can be found by multiplying the highest exponent prime factors of 634 and 637. First we will calculate the prime factors of 634 and 637.

Prime Factorization of 634


2 634
317 317
1

Prime factors of 634 are 2,317. Prime factorization of 634 in exponential form is:

634 = 21×3171

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 634 and 637.

LCM(634,637) = 21×72×131×3171
LCM(634,637) = 403858

Factors of 634

List of positive integer factors of 634 that divides 634 without a remainder.

1, 2, 317, 634

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 634 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 634 and 637, than apply into the LCM equation.

GCF(634,637) = 1
LCM(634,637) = ( 634 × 637) / 1
LCM(634,637) = 403858 / 1
LCM(634,637) = 403858

Properties of LCM 634 and 637

(i) The LCM of 637 and 634 is associative

LCM of 634 and 637 = LCM of 637 and 634

Related Least Common Multiples of 634

Related Least Common Multiples of 637

Frequently Asked Questions on LCM of 634 and 637

1. What is the LCM of 634 and 637?

Answer: LCM of 634 and 637 is 403858.

2. What are the Factors of 634?

Answer: Factors of 634 are 1, 2, 317, 634. There are 4 integers that are factors of 634. The greatest factor of 634 is 634.

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 634 and 637?

Answer:

Least Common Multiple of 634 and 637 = 403858

Step 1: Find the prime factorization of 634

634 = 2 x 317

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 = 403858 = 2 x 7 x 7 x 13 x 317

Step 4: Therefore, the least common multiple of 634 and 637 is 403858.