What is the Least Common Multiple of 32546 and 32564?

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 32546 and 32564 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32546 and 32564, than apply into the LCM equation.

GCF(32546,32564) = 2
LCM(32546,32564) = ( 32546 × 32564) / 2
LCM(32546,32564) = 1059827944 / 2
LCM(32546,32564) = 529913972

Least Common Multiple (LCM) of 32546 and 32564 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32546 and 32564. First we will calculate the prime factors of 32546 and 32564.

Prime Factorization of 32546

Prime Factorization of 32564

Now multiplying the highest exponent prime factors to calculate the LCM of 32546 and 32564.

LCM(32546,32564) = 2² × 16273¹ × 7¹ × 1163¹
LCM(32546,32564) = 529913972