Least Common Multiple of 3619 and 3624

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3619 and 3624 the smallest integer that is 13115256 that is divisible by both numbers.

Least Common Multiple (LCM) of 3619 and 3624 is 13115256.

LCM(3619,3624) = 13115256

LCM of 3619 and 3624

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

LCM of:
and

Least Common Multiple of 3619 and 3624

LCM of 3619 and 3624 is 13115256

Least common multiple can be found by multiplying the highest exponent prime factors of 3619 and 3624. First we will calculate the prime factors of 3619 and 3624.

Prime Factorization of 3619


7 3619
11 517
47 47
1

Prime factors of 3619 are 7, 11,47. Prime factorization of 3619 in exponential form is:

3619 = 71×111×471

Prime Factorization of 3624


2 3624
2 1812
2 906
3 453
151 151
1

Prime factors of 3624 are 2, 3,151. Prime factorization of 3624 in exponential form is:

3624 = 23×31×1511

Now multiplying the highest exponent prime factors to calculate the LCM of 3619 and 3624.

LCM(3619,3624) = 23×31×71×111×471×1511
LCM(3619,3624) = 13115256

Factors of 3619

List of positive integer factors of 3619 that divides 3619 without a remainder.

1, 7, 11, 47, 77, 329, 517, 3619

Factors of 3624

List of positive integer factors of 3624 that divides 3624 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 151, 302, 453, 604, 906, 1208, 1812, 3624

Least Common Multiple of 3619 and 3624 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3619 and 3624, than apply into the LCM equation.

GCF(3619,3624) = 1
LCM(3619,3624) = ( 3619 × 3624) / 1
LCM(3619,3624) = 13115256 / 1
LCM(3619,3624) = 13115256

Properties of LCM 3619 and 3624

(i) The LCM of 3624 and 3619 is associative

LCM of 3619 and 3624 = LCM of 3624 and 3619

Related Least Common Multiples of 3619

Related Least Common Multiples of 3624

Frequently Asked Questions on LCM of 3619 and 3624

1. What is the LCM of 3619 and 3624?

Answer: LCM of 3619 and 3624 is 13115256.

2. What are the Factors of 3619?

Answer: Factors of 3619 are 1, 7, 11, 47, 77, 329, 517, 3619. There are 8 integers that are factors of 3619. The greatest factor of 3619 is 3619.

3. What are the Factors of 3624?

Answer: Factors of 3624 are 1, 2, 3, 4, 6, 8, 12, 24, 151, 302, 453, 604, 906, 1208, 1812, 3624. There are 16 integers that are factors of 3624. The greatest factor of 3624 is 3624.

4. How to Find the LCM of 3619 and 3624?

Answer:

Least Common Multiple of 3619 and 3624 = 13115256

Step 1: Find the prime factorization of 3619

3619 = 7 x 11 x 47

Step 2: Find the prime factorization of 3624

3624 = 2 x 2 x 2 x 3 x 151

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

LCM = 13115256 = 2 x 2 x 2 x 3 x 7 x 11 x 47 x 151

Step 4: Therefore, the least common multiple of 3619 and 3624 is 13115256.