Least Common Multiple of 2621 and 2628

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 2628 the smallest integer that is 6887988 that is divisible by both numbers.

Least Common Multiple (LCM) of 2621 and 2628 is 6887988.

LCM(2621,2628) = 6887988

LCM of 2621 and 2628

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

LCM of:
and

Least Common Multiple of 2621 and 2628

LCM of 2621 and 2628 is 6887988

Least common multiple can be found by multiplying the highest exponent prime factors of 2621 and 2628. First we will calculate the prime factors of 2621 and 2628.

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 2628


2 2628
2 1314
3 657
3 219
73 73
1

Prime factors of 2628 are 2, 3,73. Prime factorization of 2628 in exponential form is:

2628 = 22×32×731

Now multiplying the highest exponent prime factors to calculate the LCM of 2621 and 2628.

LCM(2621,2628) = 22×32×731×26211
LCM(2621,2628) = 6887988

Factors of 2621

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

1, 2621

Factors of 2628

List of positive integer factors of 2628 that divides 2628 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 73, 146, 219, 292, 438, 657, 876, 1314, 2628

Least Common Multiple of 2621 and 2628 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 2628, than apply into the LCM equation.

GCF(2621,2628) = 1
LCM(2621,2628) = ( 2621 × 2628) / 1
LCM(2621,2628) = 6887988 / 1
LCM(2621,2628) = 6887988

Properties of LCM 2621 and 2628

(i) The LCM of 2628 and 2621 is associative

LCM of 2621 and 2628 = LCM of 2628 and 2621

Related Least Common Multiples of 2621

Related Least Common Multiples of 2628

Frequently Asked Questions on LCM of 2621 and 2628

1. What is the LCM of 2621 and 2628?

Answer: LCM of 2621 and 2628 is 6887988.

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 2628?

Answer: Factors of 2628 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 73, 146, 219, 292, 438, 657, 876, 1314, 2628. There are 18 integers that are factors of 2628. The greatest factor of 2628 is 2628.

4. How to Find the LCM of 2621 and 2628?

Answer:

Least Common Multiple of 2621 and 2628 = 6887988

Step 1: Find the prime factorization of 2621

2621 = 2621

Step 2: Find the prime factorization of 2628

2628 = 2 x 2 x 3 x 3 x 73

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

LCM = 6887988 = 2 x 2 x 3 x 3 x 73 x 2621

Step 4: Therefore, the least common multiple of 2621 and 2628 is 6887988.