What is the Least Common Multiple of 37368 and 37380?

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 37368 and 37380 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37368 and 37380, than apply into the LCM equation.

GCF(37368,37380) = 12
LCM(37368,37380) = ( 37368 × 37380) / 12
LCM(37368,37380) = 1396815840 / 12
LCM(37368,37380) = 116401320

Least Common Multiple (LCM) of 37368 and 37380 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37368 and 37380. First we will calculate the prime factors of 37368 and 37380.

Prime Factorization of 37368

Prime Factorization of 37380

Now multiplying the highest exponent prime factors to calculate the LCM of 37368 and 37380.

LCM(37368,37380) = 2³ × 3³ × 173¹ × 5¹ × 7¹ × 89¹
LCM(37368,37380) = 116401320