Least Common Multiple of 6629 and 6637

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6629 and 6637 the smallest integer that is 43996673 that is divisible by both numbers.

Least Common Multiple (LCM) of 6629 and 6637 is 43996673.

LCM(6629,6637) = 43996673

LCM of 6629 and 6637

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

LCM of:
and

Least Common Multiple of 6629 and 6637

LCM of 6629 and 6637 is 43996673

Least common multiple can be found by multiplying the highest exponent prime factors of 6629 and 6637. First we will calculate the prime factors of 6629 and 6637.

Prime Factorization of 6629


7 6629
947 947
1

Prime factors of 6629 are 7,947. Prime factorization of 6629 in exponential form is:

6629 = 71×9471

Prime Factorization of 6637


6637 6637
1

Prime factors of 6637 are 6637. Prime factorization of 6637 in exponential form is:

6637 = 66371

Now multiplying the highest exponent prime factors to calculate the LCM of 6629 and 6637.

LCM(6629,6637) = 71×9471×66371
LCM(6629,6637) = 43996673

Factors of 6629

List of positive integer factors of 6629 that divides 6629 without a remainder.

1, 7, 947, 6629

Factors of 6637

List of positive integer factors of 6637 that divides 6637 without a remainder.

1, 6637

Least Common Multiple of 6629 and 6637 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6629 and 6637, than apply into the LCM equation.

GCF(6629,6637) = 1
LCM(6629,6637) = ( 6629 × 6637) / 1
LCM(6629,6637) = 43996673 / 1
LCM(6629,6637) = 43996673

Properties of LCM 6629 and 6637

(i) The LCM of 6637 and 6629 is associative

LCM of 6629 and 6637 = LCM of 6637 and 6629

Related Least Common Multiples of 6629

Related Least Common Multiples of 6637

Frequently Asked Questions on LCM of 6629 and 6637

1. What is the LCM of 6629 and 6637?

Answer: LCM of 6629 and 6637 is 43996673.

2. What are the Factors of 6629?

Answer: Factors of 6629 are 1, 7, 947, 6629. There are 4 integers that are factors of 6629. The greatest factor of 6629 is 6629.

3. What are the Factors of 6637?

Answer: Factors of 6637 are 1, 6637. There are 2 integers that are factors of 6637. The greatest factor of 6637 is 6637.

4. How to Find the LCM of 6629 and 6637?

Answer:

Least Common Multiple of 6629 and 6637 = 43996673

Step 1: Find the prime factorization of 6629

6629 = 7 x 947

Step 2: Find the prime factorization of 6637

6637 = 6637

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

LCM = 43996673 = 7 x 947 x 6637

Step 4: Therefore, the least common multiple of 6629 and 6637 is 43996673.