What is the Least Common Multiple of 37800 and 37815?

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 37800 and 37815 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37800 and 37815, than apply into the LCM equation.

GCF(37800,37815) = 15
LCM(37800,37815) = ( 37800 × 37815) / 15
LCM(37800,37815) = 1429407000 / 15
LCM(37800,37815) = 95293800

Least Common Multiple (LCM) of 37800 and 37815 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37800 and 37815. First we will calculate the prime factors of 37800 and 37815.

Prime Factorization of 37800

Prime Factorization of 37815

Now multiplying the highest exponent prime factors to calculate the LCM of 37800 and 37815.

LCM(37800,37815) = 2³ × 3³ × 5² × 7¹ × 2521¹
LCM(37800,37815) = 95293800