Least Common Multiple of 7629 and 7637

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7629 and 7637 the smallest integer that is 58262673 that is divisible by both numbers.

Least Common Multiple (LCM) of 7629 and 7637 is 58262673.

LCM(7629,7637) = 58262673

LCM of 7629 and 7637

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

LCM of:
and

Least Common Multiple of 7629 and 7637

LCM of 7629 and 7637 is 58262673

Least common multiple can be found by multiplying the highest exponent prime factors of 7629 and 7637. First we will calculate the prime factors of 7629 and 7637.

Prime Factorization of 7629


3 7629
2543 2543
1

Prime factors of 7629 are 3,2543. Prime factorization of 7629 in exponential form is:

7629 = 31×25431

Prime Factorization of 7637


7 7637
1091 1091
1

Prime factors of 7637 are 7,1091. Prime factorization of 7637 in exponential form is:

7637 = 71×10911

Now multiplying the highest exponent prime factors to calculate the LCM of 7629 and 7637.

LCM(7629,7637) = 31×71×10911×25431
LCM(7629,7637) = 58262673

Factors of 7629

List of positive integer factors of 7629 that divides 7629 without a remainder.

1, 3, 2543, 7629

Factors of 7637

List of positive integer factors of 7637 that divides 7637 without a remainder.

1, 7, 1091, 7637

Least Common Multiple of 7629 and 7637 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7629 and 7637, than apply into the LCM equation.

GCF(7629,7637) = 1
LCM(7629,7637) = ( 7629 × 7637) / 1
LCM(7629,7637) = 58262673 / 1
LCM(7629,7637) = 58262673

Properties of LCM 7629 and 7637

(i) The LCM of 7637 and 7629 is associative

LCM of 7629 and 7637 = LCM of 7637 and 7629

Related Least Common Multiples of 7629

Related Least Common Multiples of 7637

Frequently Asked Questions on LCM of 7629 and 7637

1. What is the LCM of 7629 and 7637?

Answer: LCM of 7629 and 7637 is 58262673.

2. What are the Factors of 7629?

Answer: Factors of 7629 are 1, 3, 2543, 7629. There are 4 integers that are factors of 7629. The greatest factor of 7629 is 7629.

3. What are the Factors of 7637?

Answer: Factors of 7637 are 1, 7, 1091, 7637. There are 4 integers that are factors of 7637. The greatest factor of 7637 is 7637.

4. How to Find the LCM of 7629 and 7637?

Answer:

Least Common Multiple of 7629 and 7637 = 58262673

Step 1: Find the prime factorization of 7629

7629 = 3 x 2543

Step 2: Find the prime factorization of 7637

7637 = 7 x 1091

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

LCM = 58262673 = 3 x 7 x 1091 x 2543

Step 4: Therefore, the least common multiple of 7629 and 7637 is 58262673.