What is the Least Common Multiple of 37867 and 37877?

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 37867 and 37877 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37867 and 37877, than apply into the LCM equation.

GCF(37867,37877) = 1
LCM(37867,37877) = ( 37867 × 37877) / 1
LCM(37867,37877) = 1434288359 / 1
LCM(37867,37877) = 1434288359

Least Common Multiple (LCM) of 37867 and 37877 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37867 and 37877. First we will calculate the prime factors of 37867 and 37877.

Prime Factorization of 37867

Prime Factorization of 37877

Now multiplying the highest exponent prime factors to calculate the LCM of 37867 and 37877.

LCM(37867,37877) = 19¹ × 1993¹ × 7² × 773¹
LCM(37867,37877) = 1434288359