What is the Least Common Multiple of 37320 and 37335?

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 37320 and 37335 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37320 and 37335, than apply into the LCM equation.

GCF(37320,37335) = 15
LCM(37320,37335) = ( 37320 × 37335) / 15
LCM(37320,37335) = 1393342200 / 15
LCM(37320,37335) = 92889480

Least Common Multiple (LCM) of 37320 and 37335 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37320 and 37335. First we will calculate the prime factors of 37320 and 37335.

Prime Factorization of 37320

Prime Factorization of 37335

Now multiplying the highest exponent prime factors to calculate the LCM of 37320 and 37335.

LCM(37320,37335) = 2³ × 3¹ × 5¹ × 311¹ × 19¹ × 131¹
LCM(37320,37335) = 92889480