Least Common Multiple of 15189 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 15189 and 15192 the smallest integer that is 76917096 that is divisible by both numbers.

Least Common Multiple (LCM) of 15189 and 15192 is 76917096.

LCM(15189,15192) = 76917096

LCM of 15189 and 15192

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

LCM of:
and

Least Common Multiple of 15189 and 15192

LCM of 15189 and 15192 is 76917096

Least common multiple can be found by multiplying the highest exponent prime factors of 15189 and 15192. First we will calculate the prime factors of 15189 and 15192.

Prime Factorization of 15189


3 15189
61 5063
83 83
1

Prime factors of 15189 are 3, 61,83. Prime factorization of 15189 in exponential form is:

15189 = 31×611×831

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 15189 and 15192.

LCM(15189,15192) = 23×32×611×831×2111
LCM(15189,15192) = 76917096

Factors of 15189

List of positive integer factors of 15189 that divides 15189 without a remainder.

1, 3, 61, 83, 183, 249, 5063, 15189

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 15189 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 15189 and 15192, than apply into the LCM equation.

GCF(15189,15192) = 3
LCM(15189,15192) = ( 15189 × 15192) / 3
LCM(15189,15192) = 230751288 / 3
LCM(15189,15192) = 76917096

Properties of LCM 15189 and 15192

(i) The LCM of 15192 and 15189 is associative

LCM of 15189 and 15192 = LCM of 15192 and 15189

Related Least Common Multiples of 15189

Related Least Common Multiples of 15192

Frequently Asked Questions on LCM of 15189 and 15192

1. What is the LCM of 15189 and 15192?

Answer: LCM of 15189 and 15192 is 76917096.

2. What are the Factors of 15189?

Answer: Factors of 15189 are 1, 3, 61, 83, 183, 249, 5063, 15189. There are 8 integers that are factors of 15189. The greatest factor of 15189 is 15189.

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 15189 and 15192?

Answer:

Least Common Multiple of 15189 and 15192 = 76917096

Step 1: Find the prime factorization of 15189

15189 = 3 x 61 x 83

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 = 76917096 = 2 x 2 x 2 x 3 x 3 x 61 x 83 x 211

Step 4: Therefore, the least common multiple of 15189 and 15192 is 76917096.