What is the Least Common Multiple of 37386 and 37392?

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 37386 and 37392 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37386 and 37392, than apply into the LCM equation.

GCF(37386,37392) = 6
LCM(37386,37392) = ( 37386 × 37392) / 6
LCM(37386,37392) = 1397937312 / 6
LCM(37386,37392) = 232989552

Least Common Multiple (LCM) of 37386 and 37392 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37386 and 37392. First we will calculate the prime factors of 37386 and 37392.

Prime Factorization of 37386

Prime Factorization of 37392

Now multiplying the highest exponent prime factors to calculate the LCM of 37386 and 37392.

LCM(37386,37392) = 2⁴ × 3² × 31¹ × 67¹ × 19¹ × 41¹
LCM(37386,37392) = 232989552