Least Common Multiple of 6628 and 6631

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6628 and 6631 the smallest integer that is 43950268 that is divisible by both numbers.

Least Common Multiple (LCM) of 6628 and 6631 is 43950268.

LCM(6628,6631) = 43950268

LCM of 6628 and 6631

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

LCM of:
and

Least Common Multiple of 6628 and 6631

LCM of 6628 and 6631 is 43950268

Least common multiple can be found by multiplying the highest exponent prime factors of 6628 and 6631. First we will calculate the prime factors of 6628 and 6631.

Prime Factorization of 6628


2 6628
2 3314
1657 1657
1

Prime factors of 6628 are 2,1657. Prime factorization of 6628 in exponential form is:

6628 = 22×16571

Prime Factorization of 6631


19 6631
349 349
1

Prime factors of 6631 are 19,349. Prime factorization of 6631 in exponential form is:

6631 = 191×3491

Now multiplying the highest exponent prime factors to calculate the LCM of 6628 and 6631.

LCM(6628,6631) = 22×191×3491×16571
LCM(6628,6631) = 43950268

Factors of 6628

List of positive integer factors of 6628 that divides 6628 without a remainder.

1, 2, 4, 1657, 3314, 6628

Factors of 6631

List of positive integer factors of 6631 that divides 6631 without a remainder.

1, 19, 349, 6631

Least Common Multiple of 6628 and 6631 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6628 and 6631, than apply into the LCM equation.

GCF(6628,6631) = 1
LCM(6628,6631) = ( 6628 × 6631) / 1
LCM(6628,6631) = 43950268 / 1
LCM(6628,6631) = 43950268

Properties of LCM 6628 and 6631

(i) The LCM of 6631 and 6628 is associative

LCM of 6628 and 6631 = LCM of 6631 and 6628

Related Least Common Multiples of 6628

Related Least Common Multiples of 6631

Frequently Asked Questions on LCM of 6628 and 6631

1. What is the LCM of 6628 and 6631?

Answer: LCM of 6628 and 6631 is 43950268.

2. What are the Factors of 6628?

Answer: Factors of 6628 are 1, 2, 4, 1657, 3314, 6628. There are 6 integers that are factors of 6628. The greatest factor of 6628 is 6628.

3. What are the Factors of 6631?

Answer: Factors of 6631 are 1, 19, 349, 6631. There are 4 integers that are factors of 6631. The greatest factor of 6631 is 6631.

4. How to Find the LCM of 6628 and 6631?

Answer:

Least Common Multiple of 6628 and 6631 = 43950268

Step 1: Find the prime factorization of 6628

6628 = 2 x 2 x 1657

Step 2: Find the prime factorization of 6631

6631 = 19 x 349

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

LCM = 43950268 = 2 x 2 x 19 x 349 x 1657

Step 4: Therefore, the least common multiple of 6628 and 6631 is 43950268.