What is the Least Common Multiple of 36528 and 36546?

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 36528 and 36546 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36528 and 36546, than apply into the LCM equation.

GCF(36528,36546) = 6
LCM(36528,36546) = ( 36528 × 36546) / 6
LCM(36528,36546) = 1334952288 / 6
LCM(36528,36546) = 222492048

Least Common Multiple (LCM) of 36528 and 36546 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36528 and 36546. First we will calculate the prime factors of 36528 and 36546.

Prime Factorization of 36528

Prime Factorization of 36546

Now multiplying the highest exponent prime factors to calculate the LCM of 36528 and 36546.

LCM(36528,36546) = 2⁴ × 3¹ × 761¹ × 6091¹
LCM(36528,36546) = 222492048