What is the Least Common Multiple of 40684 and 40696?

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 40684 and 40696 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40684 and 40696, than apply into the LCM equation.

GCF(40684,40696) = 4
LCM(40684,40696) = ( 40684 × 40696) / 4
LCM(40684,40696) = 1655676064 / 4
LCM(40684,40696) = 413919016

Least Common Multiple (LCM) of 40684 and 40696 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40684 and 40696. First we will calculate the prime factors of 40684 and 40696.

Prime Factorization of 40684

Prime Factorization of 40696

Now multiplying the highest exponent prime factors to calculate the LCM of 40684 and 40696.

LCM(40684,40696) = 2³ × 7¹ × 1453¹ × 5087¹
LCM(40684,40696) = 413919016