What is the Least Common Multiple of 37650 and 37659?

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 37650 and 37659 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37650 and 37659, than apply into the LCM equation.

GCF(37650,37659) = 3
LCM(37650,37659) = ( 37650 × 37659) / 3
LCM(37650,37659) = 1417861350 / 3
LCM(37650,37659) = 472620450

Least Common Multiple (LCM) of 37650 and 37659 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37650 and 37659. First we will calculate the prime factors of 37650 and 37659.

Prime Factorization of 37650

Prime Factorization of 37659

Now multiplying the highest exponent prime factors to calculate the LCM of 37650 and 37659.

LCM(37650,37659) = 2¹ × 3¹ × 5² × 251¹ × 12553¹
LCM(37650,37659) = 472620450