What is the Least Common Multiple of 36997 and 37017?

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 36997 and 37017 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36997 and 37017, than apply into the LCM equation.

GCF(36997,37017) = 1
LCM(36997,37017) = ( 36997 × 37017) / 1
LCM(36997,37017) = 1369517949 / 1
LCM(36997,37017) = 1369517949

Least Common Multiple (LCM) of 36997 and 37017 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36997 and 37017. First we will calculate the prime factors of 36997 and 37017.

Prime Factorization of 36997

Prime Factorization of 37017

Now multiplying the highest exponent prime factors to calculate the LCM of 36997 and 37017.

LCM(36997,37017) = 36997¹ × 3⁴ × 457¹
LCM(36997,37017) = 1369517949