Least Common Multiple of 15184 and 15192

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 15192 the smallest integer that is 28834416 that is divisible by both numbers.

Least Common Multiple (LCM) of 15184 and 15192 is 28834416.

LCM(15184,15192) = 28834416

LCM of 15184 and 15192

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

LCM of:
and

Least Common Multiple of 15184 and 15192

LCM of 15184 and 15192 is 28834416

Least common multiple can be found by multiplying the highest exponent prime factors of 15184 and 15192. First we will calculate the prime factors of 15184 and 15192.

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 15192


2 15192
2 7596
2 3798
3 1899
3 633
211 211
1

Prime factors of 15192 are 2, 3,211. Prime factorization of 15192 in exponential form is:

15192 = 23×32×2111

Now multiplying the highest exponent prime factors to calculate the LCM of 15184 and 15192.

LCM(15184,15192) = 24×32×131×731×2111
LCM(15184,15192) = 28834416

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 15192

List of positive integer factors of 15192 that divides 15192 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 211, 422, 633, 844, 1266, 1688, 1899, 2532, 3798, 5064, 7596, 15192

Least Common Multiple of 15184 and 15192 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 15192, than apply into the LCM equation.

GCF(15184,15192) = 8
LCM(15184,15192) = ( 15184 × 15192) / 8
LCM(15184,15192) = 230675328 / 8
LCM(15184,15192) = 28834416

Properties of LCM 15184 and 15192

(i) The LCM of 15192 and 15184 is associative

LCM of 15184 and 15192 = LCM of 15192 and 15184

Related Least Common Multiples of 15184

Related Least Common Multiples of 15192

Frequently Asked Questions on LCM of 15184 and 15192

1. What is the LCM of 15184 and 15192?

Answer: LCM of 15184 and 15192 is 28834416.

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 15192?

Answer: Factors of 15192 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 211, 422, 633, 844, 1266, 1688, 1899, 2532, 3798, 5064, 7596, 15192. There are 24 integers that are factors of 15192. The greatest factor of 15192 is 15192.

4. How to Find the LCM of 15184 and 15192?

Answer:

Least Common Multiple of 15184 and 15192 = 28834416

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 15192

15192 = 2 x 2 x 2 x 3 x 3 x 211

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

LCM = 28834416 = 2 x 2 x 2 x 2 x 3 x 3 x 13 x 73 x 211

Step 4: Therefore, the least common multiple of 15184 and 15192 is 28834416.