What is the Least Common Multiple of 25932 and 25946?

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 25932 and 25946 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25932 and 25946, than apply into the LCM equation.

GCF(25932,25946) = 2
LCM(25932,25946) = ( 25932 × 25946) / 2
LCM(25932,25946) = 672831672 / 2
LCM(25932,25946) = 336415836

Least Common Multiple (LCM) of 25932 and 25946 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25932 and 25946. First we will calculate the prime factors of 25932 and 25946.

Prime Factorization of 25932

Prime Factorization of 25946

Now multiplying the highest exponent prime factors to calculate the LCM of 25932 and 25946.

LCM(25932,25946) = 2² × 3¹ × 2161¹ × 12973¹
LCM(25932,25946) = 336415836