What is the Least Common Multiple of 60546 and 60564?

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 60546 and 60564 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60546 and 60564, than apply into the LCM equation.

GCF(60546,60564) = 6
LCM(60546,60564) = ( 60546 × 60564) / 6
LCM(60546,60564) = 3666907944 / 6
LCM(60546,60564) = 611151324

Least Common Multiple (LCM) of 60546 and 60564 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60546 and 60564. First we will calculate the prime factors of 60546 and 60564.

Prime Factorization of 60546

Prime Factorization of 60564

Now multiplying the highest exponent prime factors to calculate the LCM of 60546 and 60564.

LCM(60546,60564) = 2² × 3¹ × 10091¹ × 7² × 103¹
LCM(60546,60564) = 611151324