What is the Least Common Multiple of 57928 and 57946?

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 57928 and 57946 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57928 and 57946, than apply into the LCM equation.

GCF(57928,57946) = 2
LCM(57928,57946) = ( 57928 × 57946) / 2
LCM(57928,57946) = 3356695888 / 2
LCM(57928,57946) = 1678347944

Least Common Multiple (LCM) of 57928 and 57946 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57928 and 57946. First we will calculate the prime factors of 57928 and 57946.

Prime Factorization of 57928

Prime Factorization of 57946

Now multiplying the highest exponent prime factors to calculate the LCM of 57928 and 57946.

LCM(57928,57946) = 2³ × 13¹ × 557¹ × 7¹ × 4139¹
LCM(57928,57946) = 1678347944