What is the Least Common Multiple of 23934 and 23946?

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 23934 and 23946 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23934 and 23946, than apply into the LCM equation.

GCF(23934,23946) = 6
LCM(23934,23946) = ( 23934 × 23946) / 6
LCM(23934,23946) = 573123564 / 6
LCM(23934,23946) = 95520594

Least Common Multiple (LCM) of 23934 and 23946 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23934 and 23946. First we will calculate the prime factors of 23934 and 23946.

Prime Factorization of 23934

Prime Factorization of 23946

Now multiplying the highest exponent prime factors to calculate the LCM of 23934 and 23946.

LCM(23934,23946) = 2¹ × 3¹ × 3989¹ × 13¹ × 307¹
LCM(23934,23946) = 95520594