What is the Least Common Multiple of 15132 and 15150?

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 15132 and 15150 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15132 and 15150, than apply into the LCM equation.

GCF(15132,15150) = 6
LCM(15132,15150) = ( 15132 × 15150) / 6
LCM(15132,15150) = 229249800 / 6
LCM(15132,15150) = 38208300

Least Common Multiple (LCM) of 15132 and 15150 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15132 and 15150. First we will calculate the prime factors of 15132 and 15150.

Prime Factorization of 15132

Prime Factorization of 15150

Now multiplying the highest exponent prime factors to calculate the LCM of 15132 and 15150.

LCM(15132,15150) = 2² × 3¹ × 13¹ × 97¹ × 5² × 101¹
LCM(15132,15150) = 38208300