What is the Least Common Multiple of 27564 and 27573?

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 27564 and 27573 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27564 and 27573, than apply into the LCM equation.

GCF(27564,27573) = 3
LCM(27564,27573) = ( 27564 × 27573) / 3
LCM(27564,27573) = 760022172 / 3
LCM(27564,27573) = 253340724

Least Common Multiple (LCM) of 27564 and 27573 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27564 and 27573. First we will calculate the prime factors of 27564 and 27573.

Prime Factorization of 27564

Prime Factorization of 27573

Now multiplying the highest exponent prime factors to calculate the LCM of 27564 and 27573.

LCM(27564,27573) = 2² × 3¹ × 2297¹ × 7¹ × 13¹ × 101¹
LCM(27564,27573) = 253340724