What is the Least Common Multiple of 37104 and 37119?

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 37104 and 37119 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37104 and 37119, than apply into the LCM equation.

GCF(37104,37119) = 3
LCM(37104,37119) = ( 37104 × 37119) / 3
LCM(37104,37119) = 1377263376 / 3
LCM(37104,37119) = 459087792

Least Common Multiple (LCM) of 37104 and 37119 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37104 and 37119. First we will calculate the prime factors of 37104 and 37119.

Prime Factorization of 37104

Prime Factorization of 37119

Now multiplying the highest exponent prime factors to calculate the LCM of 37104 and 37119.

LCM(37104,37119) = 2⁴ × 3¹ × 773¹ × 12373¹
LCM(37104,37119) = 459087792