What is the Least Common Multiple of 37416 and 37425?

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 37416 and 37425 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37416 and 37425, than apply into the LCM equation.

GCF(37416,37425) = 3
LCM(37416,37425) = ( 37416 × 37425) / 3
LCM(37416,37425) = 1400293800 / 3
LCM(37416,37425) = 466764600

Least Common Multiple (LCM) of 37416 and 37425 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37416 and 37425. First we will calculate the prime factors of 37416 and 37425.

Prime Factorization of 37416

Prime Factorization of 37425

Now multiplying the highest exponent prime factors to calculate the LCM of 37416 and 37425.

LCM(37416,37425) = 2³ × 3¹ × 1559¹ × 5² × 499¹
LCM(37416,37425) = 466764600