What is the Least Common Multiple of 50928 and 50946?

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 50928 and 50946 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50928 and 50946, than apply into the LCM equation.

GCF(50928,50946) = 6
LCM(50928,50946) = ( 50928 × 50946) / 6
LCM(50928,50946) = 2594577888 / 6
LCM(50928,50946) = 432429648

Least Common Multiple (LCM) of 50928 and 50946 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50928 and 50946. First we will calculate the prime factors of 50928 and 50946.

Prime Factorization of 50928

Prime Factorization of 50946

Now multiplying the highest exponent prime factors to calculate the LCM of 50928 and 50946.

LCM(50928,50946) = 2⁴ × 3¹ × 1061¹ × 7¹ × 1213¹
LCM(50928,50946) = 432429648