What is the Least Common Multiple of 17934 and 17946?

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 17934 and 17946 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17934 and 17946, than apply into the LCM equation.

GCF(17934,17946) = 6
LCM(17934,17946) = ( 17934 × 17946) / 6
LCM(17934,17946) = 321843564 / 6
LCM(17934,17946) = 53640594

Least Common Multiple (LCM) of 17934 and 17946 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17934 and 17946. First we will calculate the prime factors of 17934 and 17946.

Prime Factorization of 17934

Prime Factorization of 17946

Now multiplying the highest exponent prime factors to calculate the LCM of 17934 and 17946.

LCM(17934,17946) = 2¹ × 3² × 7² × 61¹ × 997¹
LCM(17934,17946) = 53640594