What is the Least Common Multiple of 36524 and 36544?

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 36524 and 36544 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36524 and 36544, than apply into the LCM equation.

GCF(36524,36544) = 4
LCM(36524,36544) = ( 36524 × 36544) / 4
LCM(36524,36544) = 1334733056 / 4
LCM(36524,36544) = 333683264

Least Common Multiple (LCM) of 36524 and 36544 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36524 and 36544. First we will calculate the prime factors of 36524 and 36544.

Prime Factorization of 36524

Prime Factorization of 36544

Now multiplying the highest exponent prime factors to calculate the LCM of 36524 and 36544.

LCM(36524,36544) = 2⁶ × 23¹ × 397¹ × 571¹
LCM(36524,36544) = 333683264