What is the Least Common Multiple of 40398 and 40416?

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 40398 and 40416 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40398 and 40416, than apply into the LCM equation.

GCF(40398,40416) = 6
LCM(40398,40416) = ( 40398 × 40416) / 6
LCM(40398,40416) = 1632725568 / 6
LCM(40398,40416) = 272120928

Least Common Multiple (LCM) of 40398 and 40416 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40398 and 40416. First we will calculate the prime factors of 40398 and 40416.

Prime Factorization of 40398

Prime Factorization of 40416

Now multiplying the highest exponent prime factors to calculate the LCM of 40398 and 40416.

LCM(40398,40416) = 2⁵ × 3¹ × 6733¹ × 421¹
LCM(40398,40416) = 272120928