Least Common Multiple of 15188 and 15196

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 15188 and 15196 the smallest integer that is 57699212 that is divisible by both numbers.

Least Common Multiple (LCM) of 15188 and 15196 is 57699212.

LCM(15188,15196) = 57699212

LCM of 15188 and 15196

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

LCM of:
and

Least Common Multiple of 15188 and 15196

LCM of 15188 and 15196 is 57699212

Least common multiple can be found by multiplying the highest exponent prime factors of 15188 and 15196. First we will calculate the prime factors of 15188 and 15196.

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

Prime Factorization of 15196


2 15196
2 7598
29 3799
131 131
1

Prime factors of 15196 are 2, 29,131. Prime factorization of 15196 in exponential form is:

15196 = 22×291×1311

Now multiplying the highest exponent prime factors to calculate the LCM of 15188 and 15196.

LCM(15188,15196) = 22×291×1311×37971
LCM(15188,15196) = 57699212

Factors of 15188

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

1, 2, 4, 3797, 7594, 15188

Factors of 15196

List of positive integer factors of 15196 that divides 15196 without a remainder.

1, 2, 4, 29, 58, 116, 131, 262, 524, 3799, 7598, 15196

Least Common Multiple of 15188 and 15196 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15188 and 15196, than apply into the LCM equation.

GCF(15188,15196) = 4
LCM(15188,15196) = ( 15188 × 15196) / 4
LCM(15188,15196) = 230796848 / 4
LCM(15188,15196) = 57699212

Properties of LCM 15188 and 15196

(i) The LCM of 15196 and 15188 is associative

LCM of 15188 and 15196 = LCM of 15196 and 15188

Related Least Common Multiples of 15188

Related Least Common Multiples of 15196

Frequently Asked Questions on LCM of 15188 and 15196

1. What is the LCM of 15188 and 15196?

Answer: LCM of 15188 and 15196 is 57699212.

2. 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.

3. What are the Factors of 15196?

Answer: Factors of 15196 are 1, 2, 4, 29, 58, 116, 131, 262, 524, 3799, 7598, 15196. There are 12 integers that are factors of 15196. The greatest factor of 15196 is 15196.

4. How to Find the LCM of 15188 and 15196?

Answer:

Least Common Multiple of 15188 and 15196 = 57699212

Step 1: Find the prime factorization of 15188

15188 = 2 x 2 x 3797

Step 2: Find the prime factorization of 15196

15196 = 2 x 2 x 29 x 131

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

LCM = 57699212 = 2 x 2 x 29 x 131 x 3797

Step 4: Therefore, the least common multiple of 15188 and 15196 is 57699212.