What is the Least Common Multiple of 37017 and 37027?

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 37017 and 37027 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37017 and 37027, than apply into the LCM equation.

GCF(37017,37027) = 1
LCM(37017,37027) = ( 37017 × 37027) / 1
LCM(37017,37027) = 1370628459 / 1
LCM(37017,37027) = 1370628459

Least Common Multiple (LCM) of 37017 and 37027 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37017 and 37027. First we will calculate the prime factors of 37017 and 37027.

Prime Factorization of 37017

Prime Factorization of 37027

Now multiplying the highest exponent prime factors to calculate the LCM of 37017 and 37027.

LCM(37017,37027) = 3⁴ × 457¹ × 61¹ × 607¹
LCM(37017,37027) = 1370628459