What is the Least Common Multiple of 32596 and 32611?

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 32611 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 32611, than apply into the LCM equation.

GCF(32596,32611) = 1
LCM(32596,32611) = ( 32596 × 32611) / 1
LCM(32596,32611) = 1062988156 / 1
LCM(32596,32611) = 1062988156

Least Common Multiple (LCM) of 32596 and 32611 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32596 and 32611. First we will calculate the prime factors of 32596 and 32611.

Prime Factorization of 32596

Prime Factorization of 32611

Now multiplying the highest exponent prime factors to calculate the LCM of 32596 and 32611.

LCM(32596,32611) = 2² × 29¹ × 281¹ × 32611¹
LCM(32596,32611) = 1062988156