What is the Least Common Multiple of 43928 and 43946?

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 43928 and 43946 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43928 and 43946, than apply into the LCM equation.

GCF(43928,43946) = 2
LCM(43928,43946) = ( 43928 × 43946) / 2
LCM(43928,43946) = 1930459888 / 2
LCM(43928,43946) = 965229944

Least Common Multiple (LCM) of 43928 and 43946 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43928 and 43946. First we will calculate the prime factors of 43928 and 43946.

Prime Factorization of 43928

Prime Factorization of 43946

Now multiplying the highest exponent prime factors to calculate the LCM of 43928 and 43946.

LCM(43928,43946) = 2³ × 17² × 19¹ × 7¹ × 43¹ × 73¹
LCM(43928,43946) = 965229944