Least Common Multiple of 6621 and 6627

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6621 and 6627 the smallest integer that is 14625789 that is divisible by both numbers.

Least Common Multiple (LCM) of 6621 and 6627 is 14625789.

LCM(6621,6627) = 14625789

LCM of 6621 and 6627

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

LCM of:
and

Least Common Multiple of 6621 and 6627

LCM of 6621 and 6627 is 14625789

Least common multiple can be found by multiplying the highest exponent prime factors of 6621 and 6627. First we will calculate the prime factors of 6621 and 6627.

Prime Factorization of 6621


3 6621
2207 2207
1

Prime factors of 6621 are 3,2207. Prime factorization of 6621 in exponential form is:

6621 = 31×22071

Prime Factorization of 6627


3 6627
47 2209
47 47
1

Prime factors of 6627 are 3,47. Prime factorization of 6627 in exponential form is:

6627 = 31×472

Now multiplying the highest exponent prime factors to calculate the LCM of 6621 and 6627.

LCM(6621,6627) = 31×472×22071
LCM(6621,6627) = 14625789

Factors of 6621

List of positive integer factors of 6621 that divides 6621 without a remainder.

1, 3, 2207, 6621

Factors of 6627

List of positive integer factors of 6627 that divides 6627 without a remainder.

1, 3, 47, 141, 2209, 6627

Least Common Multiple of 6621 and 6627 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6621 and 6627, than apply into the LCM equation.

GCF(6621,6627) = 3
LCM(6621,6627) = ( 6621 × 6627) / 3
LCM(6621,6627) = 43877367 / 3
LCM(6621,6627) = 14625789

Properties of LCM 6621 and 6627

(i) The LCM of 6627 and 6621 is associative

LCM of 6621 and 6627 = LCM of 6627 and 6621

Related Least Common Multiples of 6621

Related Least Common Multiples of 6627

Frequently Asked Questions on LCM of 6621 and 6627

1. What is the LCM of 6621 and 6627?

Answer: LCM of 6621 and 6627 is 14625789.

2. What are the Factors of 6621?

Answer: Factors of 6621 are 1, 3, 2207, 6621. There are 4 integers that are factors of 6621. The greatest factor of 6621 is 6621.

3. What are the Factors of 6627?

Answer: Factors of 6627 are 1, 3, 47, 141, 2209, 6627. There are 6 integers that are factors of 6627. The greatest factor of 6627 is 6627.

4. How to Find the LCM of 6621 and 6627?

Answer:

Least Common Multiple of 6621 and 6627 = 14625789

Step 1: Find the prime factorization of 6621

6621 = 3 x 2207

Step 2: Find the prime factorization of 6627

6627 = 3 x 47 x 47

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

LCM = 14625789 = 3 x 47 x 47 x 2207

Step 4: Therefore, the least common multiple of 6621 and 6627 is 14625789.