What is the Least Common Multiple of 30928 and 30946?

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 30928 and 30946 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30928 and 30946, than apply into the LCM equation.

GCF(30928,30946) = 2
LCM(30928,30946) = ( 30928 × 30946) / 2
LCM(30928,30946) = 957097888 / 2
LCM(30928,30946) = 478548944

Least Common Multiple (LCM) of 30928 and 30946 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30928 and 30946. First we will calculate the prime factors of 30928 and 30946.

Prime Factorization of 30928

Prime Factorization of 30946

Now multiplying the highest exponent prime factors to calculate the LCM of 30928 and 30946.

LCM(30928,30946) = 2⁴ × 1933¹ × 15473¹
LCM(30928,30946) = 478548944