What is the Least Common Multiple of 40416 and 40427?

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 40416 and 40427 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40416 and 40427, than apply into the LCM equation.

GCF(40416,40427) = 1
LCM(40416,40427) = ( 40416 × 40427) / 1
LCM(40416,40427) = 1633897632 / 1
LCM(40416,40427) = 1633897632

Least Common Multiple (LCM) of 40416 and 40427 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40416 and 40427. First we will calculate the prime factors of 40416 and 40427.

Prime Factorization of 40416

Prime Factorization of 40427

Now multiplying the highest exponent prime factors to calculate the LCM of 40416 and 40427.

LCM(40416,40427) = 2⁵ × 3¹ × 421¹ × 40427¹
LCM(40416,40427) = 1633897632