What is the Least Common Multiple of 37119 and 37132?

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 37119 and 37132 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37119 and 37132, than apply into the LCM equation.

GCF(37119,37132) = 1
LCM(37119,37132) = ( 37119 × 37132) / 1
LCM(37119,37132) = 1378302708 / 1
LCM(37119,37132) = 1378302708

Least Common Multiple (LCM) of 37119 and 37132 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37119 and 37132. First we will calculate the prime factors of 37119 and 37132.

Prime Factorization of 37119

Prime Factorization of 37132

Now multiplying the highest exponent prime factors to calculate the LCM of 37119 and 37132.

LCM(37119,37132) = 3¹ × 12373¹ × 2² × 9283¹
LCM(37119,37132) = 1378302708