Least Common Multiple of 2619 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 2619 and 2625 the smallest integer that is 2291625 that is divisible by both numbers.

Least Common Multiple (LCM) of 2619 and 2625 is 2291625.

LCM(2619,2625) = 2291625

LCM of 2619 and 2625

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

LCM of:
and

Least Common Multiple of 2619 and 2625

LCM of 2619 and 2625 is 2291625

Least common multiple can be found by multiplying the highest exponent prime factors of 2619 and 2625. First we will calculate the prime factors of 2619 and 2625.

Prime Factorization of 2619


3 2619
3 873
3 291
97 97
1

Prime factors of 2619 are 3,97. Prime factorization of 2619 in exponential form is:

2619 = 33×971

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 2619 and 2625.

LCM(2619,2625) = 33×53×71×971
LCM(2619,2625) = 2291625

Factors of 2619

List of positive integer factors of 2619 that divides 2619 without a remainder.

1, 3, 9, 27, 97, 291, 873, 2619

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 2619 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 2619 and 2625, than apply into the LCM equation.

GCF(2619,2625) = 3
LCM(2619,2625) = ( 2619 × 2625) / 3
LCM(2619,2625) = 6874875 / 3
LCM(2619,2625) = 2291625

Properties of LCM 2619 and 2625

(i) The LCM of 2625 and 2619 is associative

LCM of 2619 and 2625 = LCM of 2625 and 2619

Related Least Common Multiples of 2619

Related Least Common Multiples of 2625

Frequently Asked Questions on LCM of 2619 and 2625

1. What is the LCM of 2619 and 2625?

Answer: LCM of 2619 and 2625 is 2291625.

2. What are the Factors of 2619?

Answer: Factors of 2619 are 1, 3, 9, 27, 97, 291, 873, 2619. There are 8 integers that are factors of 2619. The greatest factor of 2619 is 2619.

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 2619 and 2625?

Answer:

Least Common Multiple of 2619 and 2625 = 2291625

Step 1: Find the prime factorization of 2619

2619 = 3 x 3 x 3 x 97

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 = 2291625 = 3 x 3 x 3 x 5 x 5 x 5 x 7 x 97

Step 4: Therefore, the least common multiple of 2619 and 2625 is 2291625.