What is the Least Common Multiple of 36519 and 36537?

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 36537 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 36537, than apply into the LCM equation.

GCF(36519,36537) = 3
LCM(36519,36537) = ( 36519 × 36537) / 3
LCM(36519,36537) = 1334294703 / 3
LCM(36519,36537) = 444764901

Least Common Multiple (LCM) of 36519 and 36537 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36519 and 36537. First we will calculate the prime factors of 36519 and 36537.

Prime Factorization of 36519

Prime Factorization of 36537

Now multiplying the highest exponent prime factors to calculate the LCM of 36519 and 36537.

LCM(36519,36537) = 3¹ × 7¹ × 37¹ × 47¹ × 19¹ × 641¹
LCM(36519,36537) = 444764901