Least Common Multiple of 8619 and 8624

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 8624 the smallest integer that is 74330256 that is divisible by both numbers.

Least Common Multiple (LCM) of 8619 and 8624 is 74330256.

LCM(8619,8624) = 74330256

LCM of 8619 and 8624

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

LCM of:
and

Least Common Multiple of 8619 and 8624

LCM of 8619 and 8624 is 74330256

Least common multiple can be found by multiplying the highest exponent prime factors of 8619 and 8624. First we will calculate the prime factors of 8619 and 8624.

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 8624


2 8624
2 4312
2 2156
2 1078
7 539
7 77
11 11
1

Prime factors of 8624 are 2, 7,11. Prime factorization of 8624 in exponential form is:

8624 = 24×72×111

Now multiplying the highest exponent prime factors to calculate the LCM of 8619 and 8624.

LCM(8619,8624) = 24×31×72×111×132×171
LCM(8619,8624) = 74330256

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 8624

List of positive integer factors of 8624 that divides 8624 without a remainder.

1, 2, 4, 7, 8, 11, 14, 16, 22, 28, 44, 49, 56, 77, 88, 98, 112, 154, 176, 196, 308, 392, 539, 616, 784, 1078, 1232, 2156, 4312, 8624

Least Common Multiple of 8619 and 8624 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 8624, than apply into the LCM equation.

GCF(8619,8624) = 1
LCM(8619,8624) = ( 8619 × 8624) / 1
LCM(8619,8624) = 74330256 / 1
LCM(8619,8624) = 74330256

Properties of LCM 8619 and 8624

(i) The LCM of 8624 and 8619 is associative

LCM of 8619 and 8624 = LCM of 8624 and 8619

Related Least Common Multiples of 8619

Related Least Common Multiples of 8624

Frequently Asked Questions on LCM of 8619 and 8624

1. What is the LCM of 8619 and 8624?

Answer: LCM of 8619 and 8624 is 74330256.

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 8624?

Answer: Factors of 8624 are 1, 2, 4, 7, 8, 11, 14, 16, 22, 28, 44, 49, 56, 77, 88, 98, 112, 154, 176, 196, 308, 392, 539, 616, 784, 1078, 1232, 2156, 4312, 8624. There are 30 integers that are factors of 8624. The greatest factor of 8624 is 8624.

4. How to Find the LCM of 8619 and 8624?

Answer:

Least Common Multiple of 8619 and 8624 = 74330256

Step 1: Find the prime factorization of 8619

8619 = 3 x 13 x 13 x 17

Step 2: Find the prime factorization of 8624

8624 = 2 x 2 x 2 x 2 x 7 x 7 x 11

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

LCM = 74330256 = 2 x 2 x 2 x 2 x 3 x 7 x 7 x 11 x 13 x 13 x 17

Step 4: Therefore, the least common multiple of 8619 and 8624 is 74330256.