What is the Least Common Multiple of 32677 and 32696?

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 32677 and 32696 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32677 and 32696, than apply into the LCM equation.

GCF(32677,32696) = 1
LCM(32677,32696) = ( 32677 × 32696) / 1
LCM(32677,32696) = 1068407192 / 1
LCM(32677,32696) = 1068407192

Least Common Multiple (LCM) of 32677 and 32696 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32677 and 32696. First we will calculate the prime factors of 32677 and 32696.

Prime Factorization of 32677

Prime Factorization of 32696

Now multiplying the highest exponent prime factors to calculate the LCM of 32677 and 32696.

LCM(32677,32696) = 41¹ × 797¹ × 2³ × 61¹ × 67¹
LCM(32677,32696) = 1068407192