Least Common Multiple of 2621 and 2627

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2621 and 2627 the smallest integer that is 6885367 that is divisible by both numbers.

Least Common Multiple (LCM) of 2621 and 2627 is 6885367.

LCM(2621,2627) = 6885367

LCM of 2621 and 2627

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

LCM of:
and

Least Common Multiple of 2621 and 2627

LCM of 2621 and 2627 is 6885367

Least common multiple can be found by multiplying the highest exponent prime factors of 2621 and 2627. First we will calculate the prime factors of 2621 and 2627.

Prime Factorization of 2621


2621 2621
1

Prime factors of 2621 are 2621. Prime factorization of 2621 in exponential form is:

2621 = 26211

Prime Factorization of 2627


37 2627
71 71
1

Prime factors of 2627 are 37,71. Prime factorization of 2627 in exponential form is:

2627 = 371×711

Now multiplying the highest exponent prime factors to calculate the LCM of 2621 and 2627.

LCM(2621,2627) = 371×711×26211
LCM(2621,2627) = 6885367

Factors of 2621

List of positive integer factors of 2621 that divides 2621 without a remainder.

1, 2621

Factors of 2627

List of positive integer factors of 2627 that divides 2627 without a remainder.

1, 37, 71, 2627

Least Common Multiple of 2621 and 2627 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2621 and 2627, than apply into the LCM equation.

GCF(2621,2627) = 1
LCM(2621,2627) = ( 2621 × 2627) / 1
LCM(2621,2627) = 6885367 / 1
LCM(2621,2627) = 6885367

Properties of LCM 2621 and 2627

(i) The LCM of 2627 and 2621 is associative

LCM of 2621 and 2627 = LCM of 2627 and 2621

Related Least Common Multiples of 2621

Related Least Common Multiples of 2627

Frequently Asked Questions on LCM of 2621 and 2627

1. What is the LCM of 2621 and 2627?

Answer: LCM of 2621 and 2627 is 6885367.

2. What are the Factors of 2621?

Answer: Factors of 2621 are 1, 2621. There are 2 integers that are factors of 2621. The greatest factor of 2621 is 2621.

3. What are the Factors of 2627?

Answer: Factors of 2627 are 1, 37, 71, 2627. There are 4 integers that are factors of 2627. The greatest factor of 2627 is 2627.

4. How to Find the LCM of 2621 and 2627?

Answer:

Least Common Multiple of 2621 and 2627 = 6885367

Step 1: Find the prime factorization of 2621

2621 = 2621

Step 2: Find the prime factorization of 2627

2627 = 37 x 71

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

LCM = 6885367 = 37 x 71 x 2621

Step 4: Therefore, the least common multiple of 2621 and 2627 is 6885367.