Least Common Multiple of 629 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 629 and 637 the smallest integer that is 400673 that is divisible by both numbers.

Least Common Multiple (LCM) of 629 and 637 is 400673.

LCM(629,637) = 400673

LCM of 629 and 637

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

LCM of:
and

Least Common Multiple of 629 and 637

LCM of 629 and 637 is 400673

Least common multiple can be found by multiplying the highest exponent prime factors of 629 and 637. First we will calculate the prime factors of 629 and 637.

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 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 629 and 637.

LCM(629,637) = 72×131×171×371
LCM(629,637) = 400673

Factors of 629

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

1, 17, 37, 629

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 629 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 629 and 637, than apply into the LCM equation.

GCF(629,637) = 1
LCM(629,637) = ( 629 × 637) / 1
LCM(629,637) = 400673 / 1
LCM(629,637) = 400673

Properties of LCM 629 and 637

(i) The LCM of 637 and 629 is associative

LCM of 629 and 637 = LCM of 637 and 629

Related Least Common Multiples of 629

Related Least Common Multiples of 637

Frequently Asked Questions on LCM of 629 and 637

1. What is the LCM of 629 and 637?

Answer: LCM of 629 and 637 is 400673.

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 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 629 and 637?

Answer:

Least Common Multiple of 629 and 637 = 400673

Step 1: Find the prime factorization of 629

629 = 17 x 37

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 = 400673 = 7 x 7 x 13 x 17 x 37

Step 4: Therefore, the least common multiple of 629 and 637 is 400673.