Least Common Multiple of 15192 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 15192 and 15196 the smallest integer that is 57714408 that is divisible by both numbers.

Least Common Multiple (LCM) of 15192 and 15196 is 57714408.

LCM(15192,15196) = 57714408

LCM of 15192 and 15196

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

LCM of:
and

Least Common Multiple of 15192 and 15196

LCM of 15192 and 15196 is 57714408

Least common multiple can be found by multiplying the highest exponent prime factors of 15192 and 15196. First we will calculate the prime factors of 15192 and 15196.

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

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 15192 and 15196.

LCM(15192,15196) = 23×32×291×1311×2111
LCM(15192,15196) = 57714408

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

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 15192 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 15192 and 15196, than apply into the LCM equation.

GCF(15192,15196) = 4
LCM(15192,15196) = ( 15192 × 15196) / 4
LCM(15192,15196) = 230857632 / 4
LCM(15192,15196) = 57714408

Properties of LCM 15192 and 15196

(i) The LCM of 15196 and 15192 is associative

LCM of 15192 and 15196 = LCM of 15196 and 15192

Related Least Common Multiples of 15192

Related Least Common Multiples of 15196

Frequently Asked Questions on LCM of 15192 and 15196

1. What is the LCM of 15192 and 15196?

Answer: LCM of 15192 and 15196 is 57714408.

2. 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.

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 15192 and 15196?

Answer:

Least Common Multiple of 15192 and 15196 = 57714408

Step 1: Find the prime factorization of 15192

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

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 = 57714408 = 2 x 2 x 2 x 3 x 3 x 29 x 131 x 211

Step 4: Therefore, the least common multiple of 15192 and 15196 is 57714408.