Least Common Multiple of 2621 and 2629

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 2629 the smallest integer that is 6890609 that is divisible by both numbers.

Least Common Multiple (LCM) of 2621 and 2629 is 6890609.

LCM(2621,2629) = 6890609

LCM of 2621 and 2629

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

LCM of:
and

Least Common Multiple of 2621 and 2629

LCM of 2621 and 2629 is 6890609

Least common multiple can be found by multiplying the highest exponent prime factors of 2621 and 2629. First we will calculate the prime factors of 2621 and 2629.

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 2629


11 2629
239 239
1

Prime factors of 2629 are 11,239. Prime factorization of 2629 in exponential form is:

2629 = 111×2391

Now multiplying the highest exponent prime factors to calculate the LCM of 2621 and 2629.

LCM(2621,2629) = 111×2391×26211
LCM(2621,2629) = 6890609

Factors of 2621

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

1, 2621

Factors of 2629

List of positive integer factors of 2629 that divides 2629 without a remainder.

1, 11, 239, 2629

Least Common Multiple of 2621 and 2629 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 2629, than apply into the LCM equation.

GCF(2621,2629) = 1
LCM(2621,2629) = ( 2621 × 2629) / 1
LCM(2621,2629) = 6890609 / 1
LCM(2621,2629) = 6890609

Properties of LCM 2621 and 2629

(i) The LCM of 2629 and 2621 is associative

LCM of 2621 and 2629 = LCM of 2629 and 2621

Related Least Common Multiples of 2621

Related Least Common Multiples of 2629

Frequently Asked Questions on LCM of 2621 and 2629

1. What is the LCM of 2621 and 2629?

Answer: LCM of 2621 and 2629 is 6890609.

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 2629?

Answer: Factors of 2629 are 1, 11, 239, 2629. There are 4 integers that are factors of 2629. The greatest factor of 2629 is 2629.

4. How to Find the LCM of 2621 and 2629?

Answer:

Least Common Multiple of 2621 and 2629 = 6890609

Step 1: Find the prime factorization of 2621

2621 = 2621

Step 2: Find the prime factorization of 2629

2629 = 11 x 239

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

LCM = 6890609 = 11 x 239 x 2621

Step 4: Therefore, the least common multiple of 2621 and 2629 is 6890609.