What is the Least Common Multiple of 40264 and 40284?

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 40264 and 40284 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40264 and 40284, than apply into the LCM equation.

GCF(40264,40284) = 4
LCM(40264,40284) = ( 40264 × 40284) / 4
LCM(40264,40284) = 1621994976 / 4
LCM(40264,40284) = 405498744

Least Common Multiple (LCM) of 40264 and 40284 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40264 and 40284. First we will calculate the prime factors of 40264 and 40284.

Prime Factorization of 40264

Prime Factorization of 40284

Now multiplying the highest exponent prime factors to calculate the LCM of 40264 and 40284.

LCM(40264,40284) = 2³ × 7¹ × 719¹ × 3³ × 373¹
LCM(40264,40284) = 405498744