What is the Least Common Multiple of 32568 and 32578?

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 32568 and 32578 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32568 and 32578, than apply into the LCM equation.

GCF(32568,32578) = 2
LCM(32568,32578) = ( 32568 × 32578) / 2
LCM(32568,32578) = 1061000304 / 2
LCM(32568,32578) = 530500152

Least Common Multiple (LCM) of 32568 and 32578 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32568 and 32578. First we will calculate the prime factors of 32568 and 32578.

Prime Factorization of 32568

Prime Factorization of 32578

Now multiplying the highest exponent prime factors to calculate the LCM of 32568 and 32578.

LCM(32568,32578) = 2³ × 3¹ × 23¹ × 59¹ × 7¹ × 13¹ × 179¹
LCM(32568,32578) = 530500152