What is the Least Common Multiple of 65928 and 65946?

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 65928 and 65946 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65928 and 65946, than apply into the LCM equation.

GCF(65928,65946) = 6
LCM(65928,65946) = ( 65928 × 65946) / 6
LCM(65928,65946) = 4347687888 / 6
LCM(65928,65946) = 724614648

Least Common Multiple (LCM) of 65928 and 65946 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65928 and 65946. First we will calculate the prime factors of 65928 and 65946.

Prime Factorization of 65928

Prime Factorization of 65946

Now multiplying the highest exponent prime factors to calculate the LCM of 65928 and 65946.

LCM(65928,65946) = 2³ × 3¹ × 41¹ × 67¹ × 29¹ × 379¹
LCM(65928,65946) = 724614648