What is the Least Common Multiple of 37015 and 37021?

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 37015 and 37021 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37015 and 37021, than apply into the LCM equation.

GCF(37015,37021) = 1
LCM(37015,37021) = ( 37015 × 37021) / 1
LCM(37015,37021) = 1370332315 / 1
LCM(37015,37021) = 1370332315

Least Common Multiple (LCM) of 37015 and 37021 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37015 and 37021. First we will calculate the prime factors of 37015 and 37021.

Prime Factorization of 37015

Prime Factorization of 37021

Now multiplying the highest exponent prime factors to calculate the LCM of 37015 and 37021.

LCM(37015,37021) = 5¹ × 11¹ × 673¹ × 37021¹
LCM(37015,37021) = 1370332315