Least Common Multiple of 6645 and 6652

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6645 and 6652 the smallest integer that is 44202540 that is divisible by both numbers.

Least Common Multiple (LCM) of 6645 and 6652 is 44202540.

LCM(6645,6652) = 44202540

LCM of 6645 and 6652

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

LCM of:
and

Least Common Multiple of 6645 and 6652

LCM of 6645 and 6652 is 44202540

Least common multiple can be found by multiplying the highest exponent prime factors of 6645 and 6652. First we will calculate the prime factors of 6645 and 6652.

Prime Factorization of 6645


3 6645
5 2215
443 443
1

Prime factors of 6645 are 3, 5,443. Prime factorization of 6645 in exponential form is:

6645 = 31×51×4431

Prime Factorization of 6652


2 6652
2 3326
1663 1663
1

Prime factors of 6652 are 2,1663. Prime factorization of 6652 in exponential form is:

6652 = 22×16631

Now multiplying the highest exponent prime factors to calculate the LCM of 6645 and 6652.

LCM(6645,6652) = 22×31×51×4431×16631
LCM(6645,6652) = 44202540

Factors of 6645

List of positive integer factors of 6645 that divides 6645 without a remainder.

1, 3, 5, 15, 443, 1329, 2215, 6645

Factors of 6652

List of positive integer factors of 6652 that divides 6652 without a remainder.

1, 2, 4, 1663, 3326, 6652

Least Common Multiple of 6645 and 6652 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6645 and 6652, than apply into the LCM equation.

GCF(6645,6652) = 1
LCM(6645,6652) = ( 6645 × 6652) / 1
LCM(6645,6652) = 44202540 / 1
LCM(6645,6652) = 44202540

Properties of LCM 6645 and 6652

(i) The LCM of 6652 and 6645 is associative

LCM of 6645 and 6652 = LCM of 6652 and 6645

Related Least Common Multiples of 6645

Related Least Common Multiples of 6652

Frequently Asked Questions on LCM of 6645 and 6652

1. What is the LCM of 6645 and 6652?

Answer: LCM of 6645 and 6652 is 44202540.

2. What are the Factors of 6645?

Answer: Factors of 6645 are 1, 3, 5, 15, 443, 1329, 2215, 6645. There are 8 integers that are factors of 6645. The greatest factor of 6645 is 6645.

3. What are the Factors of 6652?

Answer: Factors of 6652 are 1, 2, 4, 1663, 3326, 6652. There are 6 integers that are factors of 6652. The greatest factor of 6652 is 6652.

4. How to Find the LCM of 6645 and 6652?

Answer:

Least Common Multiple of 6645 and 6652 = 44202540

Step 1: Find the prime factorization of 6645

6645 = 3 x 5 x 443

Step 2: Find the prime factorization of 6652

6652 = 2 x 2 x 1663

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

LCM = 44202540 = 2 x 2 x 3 x 5 x 443 x 1663

Step 4: Therefore, the least common multiple of 6645 and 6652 is 44202540.