What is the Least Common Multiple of 32596 and 32614?

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 32596 and 32614 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32596 and 32614, than apply into the LCM equation.

GCF(32596,32614) = 2
LCM(32596,32614) = ( 32596 × 32614) / 2
LCM(32596,32614) = 1063085944 / 2
LCM(32596,32614) = 531542972

Least Common Multiple (LCM) of 32596 and 32614 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32596 and 32614. First we will calculate the prime factors of 32596 and 32614.

Prime Factorization of 32596

Prime Factorization of 32614

Now multiplying the highest exponent prime factors to calculate the LCM of 32596 and 32614.

LCM(32596,32614) = 2² × 29¹ × 281¹ × 23¹ × 709¹
LCM(32596,32614) = 531542972