What is the Least Common Multiple of 40284 and 40296?

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 40284 and 40296 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40284 and 40296, than apply into the LCM equation.

GCF(40284,40296) = 12
LCM(40284,40296) = ( 40284 × 40296) / 12
LCM(40284,40296) = 1623284064 / 12
LCM(40284,40296) = 135273672

Least Common Multiple (LCM) of 40284 and 40296 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40284 and 40296. First we will calculate the prime factors of 40284 and 40296.

Prime Factorization of 40284

Prime Factorization of 40296

Now multiplying the highest exponent prime factors to calculate the LCM of 40284 and 40296.

LCM(40284,40296) = 2³ × 3³ × 373¹ × 23¹ × 73¹
LCM(40284,40296) = 135273672