What is the Least Common Multiple of 37332 and 37344?

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 37332 and 37344 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37332 and 37344, than apply into the LCM equation.

GCF(37332,37344) = 12
LCM(37332,37344) = ( 37332 × 37344) / 12
LCM(37332,37344) = 1394126208 / 12
LCM(37332,37344) = 116177184

Least Common Multiple (LCM) of 37332 and 37344 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37332 and 37344. First we will calculate the prime factors of 37332 and 37344.

Prime Factorization of 37332

Prime Factorization of 37344

Now multiplying the highest exponent prime factors to calculate the LCM of 37332 and 37344.

LCM(37332,37344) = 2⁵ × 3² × 17¹ × 61¹ × 389¹
LCM(37332,37344) = 116177184