What is the Least Common Multiple of 37368 and 37376?

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 37376 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 37376, than apply into the LCM equation.

GCF(37368,37376) = 8
LCM(37368,37376) = ( 37368 × 37376) / 8
LCM(37368,37376) = 1396666368 / 8
LCM(37368,37376) = 174583296

Least Common Multiple (LCM) of 37368 and 37376 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37368 and 37376. First we will calculate the prime factors of 37368 and 37376.

Prime Factorization of 37368

Prime Factorization of 37376

Now multiplying the highest exponent prime factors to calculate the LCM of 37368 and 37376.

LCM(37368,37376) = 2⁹ × 3³ × 173¹ × 73¹
LCM(37368,37376) = 174583296