What is the Least Common Multiple of 28926 and 28946?

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 28926 and 28946 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28926 and 28946, than apply into the LCM equation.

GCF(28926,28946) = 2
LCM(28926,28946) = ( 28926 × 28946) / 2
LCM(28926,28946) = 837291996 / 2
LCM(28926,28946) = 418645998

Least Common Multiple (LCM) of 28926 and 28946 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28926 and 28946. First we will calculate the prime factors of 28926 and 28946.

Prime Factorization of 28926

Prime Factorization of 28946

Now multiplying the highest exponent prime factors to calculate the LCM of 28926 and 28946.

LCM(28926,28946) = 2¹ × 3² × 1607¹ × 41¹ × 353¹
LCM(28926,28946) = 418645998