What is the Least Common Multiple of 36544 and 36552?

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 36544 and 36552 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36544 and 36552, than apply into the LCM equation.

GCF(36544,36552) = 8
LCM(36544,36552) = ( 36544 × 36552) / 8
LCM(36544,36552) = 1335756288 / 8
LCM(36544,36552) = 166969536

Least Common Multiple (LCM) of 36544 and 36552 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36544 and 36552. First we will calculate the prime factors of 36544 and 36552.

Prime Factorization of 36544

Prime Factorization of 36552

Now multiplying the highest exponent prime factors to calculate the LCM of 36544 and 36552.

LCM(36544,36552) = 2⁶ × 571¹ × 3¹ × 1523¹
LCM(36544,36552) = 166969536