GCF and LCM Calculator Logo

What is the Least Common Multiple of 15292 and 15299?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 15292 and 15299 is 233952308.

LCM(15292,15299) = 233952308

LCM Calculator and
and

Least Common Multiple of 15292 and 15299 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15292 and 15299, than apply into the LCM equation.

GCF(15292,15299) = 1
LCM(15292,15299) = ( 15292 × 15299) / 1
LCM(15292,15299) = 233952308 / 1
LCM(15292,15299) = 233952308

Least Common Multiple (LCM) of 15292 and 15299 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15292 and 15299. First we will calculate the prime factors of 15292 and 15299.

Prime Factorization of 15292

Prime factors of 15292 are 2, 3823. Prime factorization of 15292 in exponential form is:

15292 = 22 × 38231

Prime Factorization of 15299

Prime factors of 15299 are 15299. Prime factorization of 15299 in exponential form is:

15299 = 152991

Now multiplying the highest exponent prime factors to calculate the LCM of 15292 and 15299.

LCM(15292,15299) = 22 × 38231 × 152991
LCM(15292,15299) = 233952308