What is the Least Common Multiple of 60564 and 60583?

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 60564 and 60583 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60564 and 60583, than apply into the LCM equation.

GCF(60564,60583) = 1
LCM(60564,60583) = ( 60564 × 60583) / 1
LCM(60564,60583) = 3669148812 / 1
LCM(60564,60583) = 3669148812

Least Common Multiple (LCM) of 60564 and 60583 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60564 and 60583. First we will calculate the prime factors of 60564 and 60583.

Prime Factorization of 60564

Prime Factorization of 60583

Now multiplying the highest exponent prime factors to calculate the LCM of 60564 and 60583.

LCM(60564,60583) = 2² × 3¹ × 7² × 103¹ × 47¹ × 1289¹
LCM(60564,60583) = 3669148812