What is the Least Common Multiple of 36519 and 36538?

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 36519 and 36538 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36519 and 36538, than apply into the LCM equation.

GCF(36519,36538) = 1
LCM(36519,36538) = ( 36519 × 36538) / 1
LCM(36519,36538) = 1334331222 / 1
LCM(36519,36538) = 1334331222

Least Common Multiple (LCM) of 36519 and 36538 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36519 and 36538. First we will calculate the prime factors of 36519 and 36538.

Prime Factorization of 36519

Prime Factorization of 36538

Now multiplying the highest exponent prime factors to calculate the LCM of 36519 and 36538.

LCM(36519,36538) = 3¹ × 7¹ × 37¹ × 47¹ × 2¹ × 18269¹
LCM(36519,36538) = 1334331222