What is the Least Common Multiple of 37788 and 37800?

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 37788 and 37800 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37788 and 37800, than apply into the LCM equation.

GCF(37788,37800) = 12
LCM(37788,37800) = ( 37788 × 37800) / 12
LCM(37788,37800) = 1428386400 / 12
LCM(37788,37800) = 119032200

Least Common Multiple (LCM) of 37788 and 37800 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37788 and 37800. First we will calculate the prime factors of 37788 and 37800.

Prime Factorization of 37788

Prime Factorization of 37800

Now multiplying the highest exponent prime factors to calculate the LCM of 37788 and 37800.

LCM(37788,37800) = 2³ × 3³ × 47¹ × 67¹ × 5² × 7¹
LCM(37788,37800) = 119032200