What is the Least Common Multiple of 7928 and 7946?

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 7928 and 7946 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7928 and 7946, than apply into the LCM equation.

GCF(7928,7946) = 2
LCM(7928,7946) = ( 7928 × 7946) / 2
LCM(7928,7946) = 62995888 / 2
LCM(7928,7946) = 31497944

Least Common Multiple (LCM) of 7928 and 7946 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7928 and 7946. First we will calculate the prime factors of 7928 and 7946.

Prime Factorization of 7928

Prime Factorization of 7946

Now multiplying the highest exponent prime factors to calculate the LCM of 7928 and 7946.

LCM(7928,7946) = 2³ × 991¹ × 29¹ × 137¹
LCM(7928,7946) = 31497944