What is the Least Common Multiple of 32966 and 32977?

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 32966 and 32977 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32966 and 32977, than apply into the LCM equation.

GCF(32966,32977) = 1
LCM(32966,32977) = ( 32966 × 32977) / 1
LCM(32966,32977) = 1087119782 / 1
LCM(32966,32977) = 1087119782

Least Common Multiple (LCM) of 32966 and 32977 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32966 and 32977. First we will calculate the prime factors of 32966 and 32977.

Prime Factorization of 32966

Prime Factorization of 32977

Now multiplying the highest exponent prime factors to calculate the LCM of 32966 and 32977.

LCM(32966,32977) = 2¹ × 53¹ × 311¹ × 7² × 673¹
LCM(32966,32977) = 1087119782