Least Common Multiple of 2621 and 2625

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 2625 the smallest integer that is 6880125 that is divisible by both numbers.

Least Common Multiple (LCM) of 2621 and 2625 is 6880125.

LCM(2621,2625) = 6880125

LCM of 2621 and 2625

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

LCM of:
and

Least Common Multiple of 2621 and 2625

LCM of 2621 and 2625 is 6880125

Least common multiple can be found by multiplying the highest exponent prime factors of 2621 and 2625. First we will calculate the prime factors of 2621 and 2625.

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 2625


3 2625
5 875
5 175
5 35
7 7
1

Prime factors of 2625 are 3, 5,7. Prime factorization of 2625 in exponential form is:

2625 = 31×53×71

Now multiplying the highest exponent prime factors to calculate the LCM of 2621 and 2625.

LCM(2621,2625) = 31×53×71×26211
LCM(2621,2625) = 6880125

Factors of 2621

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

1, 2621

Factors of 2625

List of positive integer factors of 2625 that divides 2625 without a remainder.

1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 125, 175, 375, 525, 875, 2625

Least Common Multiple of 2621 and 2625 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 2625, than apply into the LCM equation.

GCF(2621,2625) = 1
LCM(2621,2625) = ( 2621 × 2625) / 1
LCM(2621,2625) = 6880125 / 1
LCM(2621,2625) = 6880125

Properties of LCM 2621 and 2625

(i) The LCM of 2625 and 2621 is associative

LCM of 2621 and 2625 = LCM of 2625 and 2621

Related Least Common Multiples of 2621

Related Least Common Multiples of 2625

Frequently Asked Questions on LCM of 2621 and 2625

1. What is the LCM of 2621 and 2625?

Answer: LCM of 2621 and 2625 is 6880125.

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 2625?

Answer: Factors of 2625 are 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 125, 175, 375, 525, 875, 2625. There are 16 integers that are factors of 2625. The greatest factor of 2625 is 2625.

4. How to Find the LCM of 2621 and 2625?

Answer:

Least Common Multiple of 2621 and 2625 = 6880125

Step 1: Find the prime factorization of 2621

2621 = 2621

Step 2: Find the prime factorization of 2625

2625 = 3 x 5 x 5 x 5 x 7

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

LCM = 6880125 = 3 x 5 x 5 x 5 x 7 x 2621

Step 4: Therefore, the least common multiple of 2621 and 2625 is 6880125.