What is the Least Common Multiple of 32578 and 32596?

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 32578 and 32596 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32578 and 32596, than apply into the LCM equation.

GCF(32578,32596) = 2
LCM(32578,32596) = ( 32578 × 32596) / 2
LCM(32578,32596) = 1061912488 / 2
LCM(32578,32596) = 530956244

Least Common Multiple (LCM) of 32578 and 32596 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32578 and 32596. First we will calculate the prime factors of 32578 and 32596.

Prime Factorization of 32578

Prime Factorization of 32596

Now multiplying the highest exponent prime factors to calculate the LCM of 32578 and 32596.

LCM(32578,32596) = 2² × 7¹ × 13¹ × 179¹ × 29¹ × 281¹
LCM(32578,32596) = 530956244