What is the Least Common Multiple of 76928 and 76946?

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 76928 and 76946 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76928 and 76946, than apply into the LCM equation.

GCF(76928,76946) = 2
LCM(76928,76946) = ( 76928 × 76946) / 2
LCM(76928,76946) = 5919301888 / 2
LCM(76928,76946) = 2959650944

Least Common Multiple (LCM) of 76928 and 76946 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76928 and 76946. First we will calculate the prime factors of 76928 and 76946.

Prime Factorization of 76928

Prime Factorization of 76946

Now multiplying the highest exponent prime factors to calculate the LCM of 76928 and 76946.

LCM(76928,76946) = 2⁷ × 601¹ × 79¹ × 487¹
LCM(76928,76946) = 2959650944