What is the Least Common Multiple of 37476 and 37491?

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 37476 and 37491 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37476 and 37491, than apply into the LCM equation.

GCF(37476,37491) = 3
LCM(37476,37491) = ( 37476 × 37491) / 3
LCM(37476,37491) = 1405012716 / 3
LCM(37476,37491) = 468337572

Least Common Multiple (LCM) of 37476 and 37491 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37476 and 37491. First we will calculate the prime factors of 37476 and 37491.

Prime Factorization of 37476

Prime Factorization of 37491

Now multiplying the highest exponent prime factors to calculate the LCM of 37476 and 37491.

LCM(37476,37491) = 2² × 3³ × 347¹ × 12497¹
LCM(37476,37491) = 468337572