What is the Least Common Multiple of 77440 and 77446?

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 77440 and 77446 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77440 and 77446, than apply into the LCM equation.

GCF(77440,77446) = 2
LCM(77440,77446) = ( 77440 × 77446) / 2
LCM(77440,77446) = 5997418240 / 2
LCM(77440,77446) = 2998709120

Least Common Multiple (LCM) of 77440 and 77446 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77440 and 77446. First we will calculate the prime factors of 77440 and 77446.

Prime Factorization of 77440

Prime Factorization of 77446

Now multiplying the highest exponent prime factors to calculate the LCM of 77440 and 77446.

LCM(77440,77446) = 2⁷ × 5¹ × 11² × 38723¹
LCM(77440,77446) = 2998709120