What is the Least Common Multiple of 40928 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 40928 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 40928 and 40946, than apply into the LCM equation.

GCF(40928,40946) = 2
LCM(40928,40946) = ( 40928 × 40946) / 2
LCM(40928,40946) = 1675837888 / 2
LCM(40928,40946) = 837918944

Least Common Multiple (LCM) of 40928 and 40946 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40928 and 40946. First we will calculate the prime factors of 40928 and 40946.

Prime Factorization of 40928

Prime Factorization of 40946

Now multiplying the highest exponent prime factors to calculate the LCM of 40928 and 40946.

LCM(40928,40946) = 2⁵ × 1279¹ × 59¹ × 347¹
LCM(40928,40946) = 837918944