What is the Least Common Multiple of 40296 and 40314?

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 40296 and 40314 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40296 and 40314, than apply into the LCM equation.

GCF(40296,40314) = 6
LCM(40296,40314) = ( 40296 × 40314) / 6
LCM(40296,40314) = 1624492944 / 6
LCM(40296,40314) = 270748824

Least Common Multiple (LCM) of 40296 and 40314 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40296 and 40314. First we will calculate the prime factors of 40296 and 40314.

Prime Factorization of 40296

Prime Factorization of 40314

Now multiplying the highest exponent prime factors to calculate the LCM of 40296 and 40314.

LCM(40296,40314) = 2³ × 3¹ × 23¹ × 73¹ × 6719¹
LCM(40296,40314) = 270748824