What is the Least Common Multiple of 36552 and 36564?

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 36552 and 36564 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36552 and 36564, than apply into the LCM equation.

GCF(36552,36564) = 12
LCM(36552,36564) = ( 36552 × 36564) / 12
LCM(36552,36564) = 1336487328 / 12
LCM(36552,36564) = 111373944

Least Common Multiple (LCM) of 36552 and 36564 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36552 and 36564. First we will calculate the prime factors of 36552 and 36564.

Prime Factorization of 36552

Prime Factorization of 36564

Now multiplying the highest exponent prime factors to calculate the LCM of 36552 and 36564.

LCM(36552,36564) = 2³ × 3¹ × 1523¹ × 11¹ × 277¹
LCM(36552,36564) = 111373944