Least Common Multiple of 6645 and 6651

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 6651 the smallest integer that is 14731965 that is divisible by both numbers.

Least Common Multiple (LCM) of 6645 and 6651 is 14731965.

LCM(6645,6651) = 14731965

LCM of 6645 and 6651

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

LCM of:
and

Least Common Multiple of 6645 and 6651

LCM of 6645 and 6651 is 14731965

Least common multiple can be found by multiplying the highest exponent prime factors of 6645 and 6651. First we will calculate the prime factors of 6645 and 6651.

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 6651


3 6651
3 2217
739 739
1

Prime factors of 6651 are 3,739. Prime factorization of 6651 in exponential form is:

6651 = 32×7391

Now multiplying the highest exponent prime factors to calculate the LCM of 6645 and 6651.

LCM(6645,6651) = 32×51×4431×7391
LCM(6645,6651) = 14731965

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 6651

List of positive integer factors of 6651 that divides 6651 without a remainder.

1, 3, 9, 739, 2217, 6651

Least Common Multiple of 6645 and 6651 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 6651, than apply into the LCM equation.

GCF(6645,6651) = 3
LCM(6645,6651) = ( 6645 × 6651) / 3
LCM(6645,6651) = 44195895 / 3
LCM(6645,6651) = 14731965

Properties of LCM 6645 and 6651

(i) The LCM of 6651 and 6645 is associative

LCM of 6645 and 6651 = LCM of 6651 and 6645

Related Least Common Multiples of 6645

Related Least Common Multiples of 6651

Frequently Asked Questions on LCM of 6645 and 6651

1. What is the LCM of 6645 and 6651?

Answer: LCM of 6645 and 6651 is 14731965.

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 6651?

Answer: Factors of 6651 are 1, 3, 9, 739, 2217, 6651. There are 6 integers that are factors of 6651. The greatest factor of 6651 is 6651.

4. How to Find the LCM of 6645 and 6651?

Answer:

Least Common Multiple of 6645 and 6651 = 14731965

Step 1: Find the prime factorization of 6645

6645 = 3 x 5 x 443

Step 2: Find the prime factorization of 6651

6651 = 3 x 3 x 739

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

LCM = 14731965 = 3 x 3 x 5 x 443 x 739

Step 4: Therefore, the least common multiple of 6645 and 6651 is 14731965.