What is the Least Common Multiple of 37068 and 37087?

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 37068 and 37087 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37068 and 37087, than apply into the LCM equation.

GCF(37068,37087) = 1
LCM(37068,37087) = ( 37068 × 37087) / 1
LCM(37068,37087) = 1374740916 / 1
LCM(37068,37087) = 1374740916

Least Common Multiple (LCM) of 37068 and 37087 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37068 and 37087. First we will calculate the prime factors of 37068 and 37087.

Prime Factorization of 37068

Prime Factorization of 37087

Now multiplying the highest exponent prime factors to calculate the LCM of 37068 and 37087.

LCM(37068,37087) = 2² × 3¹ × 3089¹ × 37087¹
LCM(37068,37087) = 1374740916