What is the Least Common Multiple of 60928 and 60946?

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 60928 and 60946 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60928 and 60946, than apply into the LCM equation.

GCF(60928,60946) = 2
LCM(60928,60946) = ( 60928 × 60946) / 2
LCM(60928,60946) = 3713317888 / 2
LCM(60928,60946) = 1856658944

Least Common Multiple (LCM) of 60928 and 60946 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60928 and 60946. First we will calculate the prime factors of 60928 and 60946.

Prime Factorization of 60928

Prime Factorization of 60946

Now multiplying the highest exponent prime factors to calculate the LCM of 60928 and 60946.

LCM(60928,60946) = 2⁹ × 7¹ × 17¹ × 31¹ × 983¹
LCM(60928,60946) = 1856658944