What is the Least Common Multiple of 15075 and 15082?

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 15075 and 15082 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15075 and 15082, than apply into the LCM equation.

GCF(15075,15082) = 1
LCM(15075,15082) = ( 15075 × 15082) / 1
LCM(15075,15082) = 227361150 / 1
LCM(15075,15082) = 227361150

Least Common Multiple (LCM) of 15075 and 15082 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15075 and 15082. First we will calculate the prime factors of 15075 and 15082.

Prime Factorization of 15075

Prime Factorization of 15082

Now multiplying the highest exponent prime factors to calculate the LCM of 15075 and 15082.

LCM(15075,15082) = 3² × 5² × 67¹ × 2¹ × 7541¹
LCM(15075,15082) = 227361150