What is the Least Common Multiple of 15038 and 15056?

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 of 15038 and 15056 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15038 and 15056, than apply into the LCM equation.

GCF(15038,15056) = 2
LCM(15038,15056) = ( 15038 × 15056) / 2
LCM(15038,15056) = 226412128 / 2
LCM(15038,15056) = 113206064

Least Common Multiple (LCM) of 15038 and 15056 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15038 and 15056. First we will calculate the prime factors of 15038 and 15056.

Prime Factorization of 15038

Prime Factorization of 15056

Now multiplying the highest exponent prime factors to calculate the LCM of 15038 and 15056.

LCM(15038,15056) = 2⁴ × 73¹ × 103¹ × 941¹
LCM(15038,15056) = 113206064