What is the Least Common Multiple of 41940 and 41946?

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 41940 and 41946 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41940 and 41946, than apply into the LCM equation.

GCF(41940,41946) = 6
LCM(41940,41946) = ( 41940 × 41946) / 6
LCM(41940,41946) = 1759215240 / 6
LCM(41940,41946) = 293202540

Least Common Multiple (LCM) of 41940 and 41946 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41940 and 41946. First we will calculate the prime factors of 41940 and 41946.

Prime Factorization of 41940

Prime Factorization of 41946

Now multiplying the highest exponent prime factors to calculate the LCM of 41940 and 41946.

LCM(41940,41946) = 2² × 3² × 5¹ × 233¹ × 6991¹
LCM(41940,41946) = 293202540