What is the Least Common Multiple of 52284 and 52296?

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 52284 and 52296 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52284 and 52296, than apply into the LCM equation.

GCF(52284,52296) = 12
LCM(52284,52296) = ( 52284 × 52296) / 12
LCM(52284,52296) = 2734244064 / 12
LCM(52284,52296) = 227853672

Least Common Multiple (LCM) of 52284 and 52296 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52284 and 52296. First we will calculate the prime factors of 52284 and 52296.

Prime Factorization of 52284

Prime Factorization of 52296

Now multiplying the highest exponent prime factors to calculate the LCM of 52284 and 52296.

LCM(52284,52296) = 2³ × 3¹ × 4357¹ × 2179¹
LCM(52284,52296) = 227853672