What is the Least Common Multiple of 564 and 583?

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 564 and 583 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 564 and 583, than apply into the LCM equation.

GCF(564,583) = 1
LCM(564,583) = ( 564 × 583) / 1
LCM(564,583) = 328812 / 1
LCM(564,583) = 328812

Least Common Multiple (LCM) of 564 and 583 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 564 and 583. First we will calculate the prime factors of 564 and 583.

Prime Factorization of 564

Prime Factorization of 583

Now multiplying the highest exponent prime factors to calculate the LCM of 564 and 583.

LCM(564,583) = 2² × 3¹ × 47¹ × 11¹ × 53¹
LCM(564,583) = 328812