What is the Least Common Multiple of 92928 and 92946?

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 92928 and 92946 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92928 and 92946, than apply into the LCM equation.

GCF(92928,92946) = 6
LCM(92928,92946) = ( 92928 × 92946) / 6
LCM(92928,92946) = 8637285888 / 6
LCM(92928,92946) = 1439547648

Least Common Multiple (LCM) of 92928 and 92946 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92928 and 92946. First we will calculate the prime factors of 92928 and 92946.

Prime Factorization of 92928

Prime Factorization of 92946

Now multiplying the highest exponent prime factors to calculate the LCM of 92928 and 92946.

LCM(92928,92946) = 2⁸ × 3¹ × 11² × 7¹ × 2213¹
LCM(92928,92946) = 1439547648