What is the Least Common Multiple of 37319 and 37332?

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 37319 and 37332 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37319 and 37332, than apply into the LCM equation.

GCF(37319,37332) = 1
LCM(37319,37332) = ( 37319 × 37332) / 1
LCM(37319,37332) = 1393192908 / 1
LCM(37319,37332) = 1393192908

Least Common Multiple (LCM) of 37319 and 37332 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37319 and 37332. First we will calculate the prime factors of 37319 and 37332.

Prime Factorization of 37319

Prime Factorization of 37332

Now multiplying the highest exponent prime factors to calculate the LCM of 37319 and 37332.

LCM(37319,37332) = 67¹ × 557¹ × 2² × 3² × 17¹ × 61¹
LCM(37319,37332) = 1393192908