What is the Least Common Multiple of 52272 and 52284?

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 52272 and 52284 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52272 and 52284, than apply into the LCM equation.

GCF(52272,52284) = 12
LCM(52272,52284) = ( 52272 × 52284) / 12
LCM(52272,52284) = 2732989248 / 12
LCM(52272,52284) = 227749104

Least Common Multiple (LCM) of 52272 and 52284 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52272 and 52284. First we will calculate the prime factors of 52272 and 52284.

Prime Factorization of 52272

Prime Factorization of 52284

Now multiplying the highest exponent prime factors to calculate the LCM of 52272 and 52284.

LCM(52272,52284) = 2⁴ × 3³ × 11² × 4357¹
LCM(52272,52284) = 227749104