Least Common Multiple of 15184 and 15188

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 15184 and 15188 the smallest integer that is 57653648 that is divisible by both numbers.

Least Common Multiple (LCM) of 15184 and 15188 is 57653648.

LCM(15184,15188) = 57653648

LCM of 15184 and 15188

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

LCM of:
and

Least Common Multiple of 15184 and 15188

LCM of 15184 and 15188 is 57653648

Least common multiple can be found by multiplying the highest exponent prime factors of 15184 and 15188. First we will calculate the prime factors of 15184 and 15188.

Prime Factorization of 15184


2 15184
2 7592
2 3796
2 1898
13 949
73 73
1

Prime factors of 15184 are 2, 13,73. Prime factorization of 15184 in exponential form is:

15184 = 24×131×731

Prime Factorization of 15188


2 15188
2 7594
3797 3797
1

Prime factors of 15188 are 2,3797. Prime factorization of 15188 in exponential form is:

15188 = 22×37971

Now multiplying the highest exponent prime factors to calculate the LCM of 15184 and 15188.

LCM(15184,15188) = 24×131×731×37971
LCM(15184,15188) = 57653648

Factors of 15184

List of positive integer factors of 15184 that divides 15184 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 73, 104, 146, 208, 292, 584, 949, 1168, 1898, 3796, 7592, 15184

Factors of 15188

List of positive integer factors of 15188 that divides 15188 without a remainder.

1, 2, 4, 3797, 7594, 15188

Least Common Multiple of 15184 and 15188 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15184 and 15188, than apply into the LCM equation.

GCF(15184,15188) = 4
LCM(15184,15188) = ( 15184 × 15188) / 4
LCM(15184,15188) = 230614592 / 4
LCM(15184,15188) = 57653648

Properties of LCM 15184 and 15188

(i) The LCM of 15188 and 15184 is associative

LCM of 15184 and 15188 = LCM of 15188 and 15184

Related Least Common Multiples of 15184

Related Least Common Multiples of 15188

Frequently Asked Questions on LCM of 15184 and 15188

1. What is the LCM of 15184 and 15188?

Answer: LCM of 15184 and 15188 is 57653648.

2. What are the Factors of 15184?

Answer: Factors of 15184 are 1, 2, 4, 8, 13, 16, 26, 52, 73, 104, 146, 208, 292, 584, 949, 1168, 1898, 3796, 7592, 15184. There are 20 integers that are factors of 15184. The greatest factor of 15184 is 15184.

3. What are the Factors of 15188?

Answer: Factors of 15188 are 1, 2, 4, 3797, 7594, 15188. There are 6 integers that are factors of 15188. The greatest factor of 15188 is 15188.

4. How to Find the LCM of 15184 and 15188?

Answer:

Least Common Multiple of 15184 and 15188 = 57653648

Step 1: Find the prime factorization of 15184

15184 = 2 x 2 x 2 x 2 x 13 x 73

Step 2: Find the prime factorization of 15188

15188 = 2 x 2 x 3797

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

LCM = 57653648 = 2 x 2 x 2 x 2 x 13 x 73 x 3797

Step 4: Therefore, the least common multiple of 15184 and 15188 is 57653648.