What is the Least Common Multiple of 40939 and 40946?

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 40939 and 40946 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40939 and 40946, than apply into the LCM equation.

GCF(40939,40946) = 1
LCM(40939,40946) = ( 40939 × 40946) / 1
LCM(40939,40946) = 1676288294 / 1
LCM(40939,40946) = 1676288294

Least Common Multiple (LCM) of 40939 and 40946 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40939 and 40946. First we will calculate the prime factors of 40939 and 40946.

Prime Factorization of 40939

Prime Factorization of 40946

Now multiplying the highest exponent prime factors to calculate the LCM of 40939 and 40946.

LCM(40939,40946) = 40939¹ × 2¹ × 59¹ × 347¹
LCM(40939,40946) = 1676288294