What is the Least Common Multiple of 36519 and 36533?

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 36533 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 36533, than apply into the LCM equation.

GCF(36519,36533) = 7
LCM(36519,36533) = ( 36519 × 36533) / 7
LCM(36519,36533) = 1334148627 / 7
LCM(36519,36533) = 190592661

Least Common Multiple (LCM) of 36519 and 36533 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36519 and 36533. First we will calculate the prime factors of 36519 and 36533.

Prime Factorization of 36519

Prime Factorization of 36533

Now multiplying the highest exponent prime factors to calculate the LCM of 36519 and 36533.

LCM(36519,36533) = 3¹ × 7¹ × 37¹ × 47¹ × 17¹ × 307¹
LCM(36519,36533) = 190592661