Least Common Multiple of 8619 and 8625

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8619 and 8625 the smallest integer that is 24779625 that is divisible by both numbers.

Least Common Multiple (LCM) of 8619 and 8625 is 24779625.

LCM(8619,8625) = 24779625

LCM of 8619 and 8625

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

LCM of:
and

Least Common Multiple of 8619 and 8625

LCM of 8619 and 8625 is 24779625

Least common multiple can be found by multiplying the highest exponent prime factors of 8619 and 8625. First we will calculate the prime factors of 8619 and 8625.

Prime Factorization of 8619


3 8619
13 2873
13 221
17 17
1

Prime factors of 8619 are 3, 13,17. Prime factorization of 8619 in exponential form is:

8619 = 31×132×171

Prime Factorization of 8625


3 8625
5 2875
5 575
5 115
23 23
1

Prime factors of 8625 are 3, 5,23. Prime factorization of 8625 in exponential form is:

8625 = 31×53×231

Now multiplying the highest exponent prime factors to calculate the LCM of 8619 and 8625.

LCM(8619,8625) = 31×53×132×171×231
LCM(8619,8625) = 24779625

Factors of 8619

List of positive integer factors of 8619 that divides 8619 without a remainder.

1, 3, 13, 17, 39, 51, 169, 221, 507, 663, 2873, 8619

Factors of 8625

List of positive integer factors of 8625 that divides 8625 without a remainder.

1, 3, 5, 15, 23, 25, 69, 75, 115, 125, 345, 375, 575, 1725, 2875, 8625

Least Common Multiple of 8619 and 8625 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8619 and 8625, than apply into the LCM equation.

GCF(8619,8625) = 3
LCM(8619,8625) = ( 8619 × 8625) / 3
LCM(8619,8625) = 74338875 / 3
LCM(8619,8625) = 24779625

Properties of LCM 8619 and 8625

(i) The LCM of 8625 and 8619 is associative

LCM of 8619 and 8625 = LCM of 8625 and 8619

Related Least Common Multiples of 8619

Related Least Common Multiples of 8625

Frequently Asked Questions on LCM of 8619 and 8625

1. What is the LCM of 8619 and 8625?

Answer: LCM of 8619 and 8625 is 24779625.

2. What are the Factors of 8619?

Answer: Factors of 8619 are 1, 3, 13, 17, 39, 51, 169, 221, 507, 663, 2873, 8619. There are 12 integers that are factors of 8619. The greatest factor of 8619 is 8619.

3. What are the Factors of 8625?

Answer: Factors of 8625 are 1, 3, 5, 15, 23, 25, 69, 75, 115, 125, 345, 375, 575, 1725, 2875, 8625. There are 16 integers that are factors of 8625. The greatest factor of 8625 is 8625.

4. How to Find the LCM of 8619 and 8625?

Answer:

Least Common Multiple of 8619 and 8625 = 24779625

Step 1: Find the prime factorization of 8619

8619 = 3 x 13 x 13 x 17

Step 2: Find the prime factorization of 8625

8625 = 3 x 5 x 5 x 5 x 23

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

LCM = 24779625 = 3 x 5 x 5 x 5 x 13 x 13 x 17 x 23

Step 4: Therefore, the least common multiple of 8619 and 8625 is 24779625.