What is the Least Common Multiple of 37588 and 37601?

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 37588 and 37601 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37588 and 37601, than apply into the LCM equation.

GCF(37588,37601) = 1
LCM(37588,37601) = ( 37588 × 37601) / 1
LCM(37588,37601) = 1413346388 / 1
LCM(37588,37601) = 1413346388

Least Common Multiple (LCM) of 37588 and 37601 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37588 and 37601. First we will calculate the prime factors of 37588 and 37601.

Prime Factorization of 37588

Prime Factorization of 37601

Now multiplying the highest exponent prime factors to calculate the LCM of 37588 and 37601.

LCM(37588,37601) = 2² × 9397¹ × 19¹ × 1979¹
LCM(37588,37601) = 1413346388