What is the Least Common Multiple of 52275 and 52287?

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 52275 and 52287 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52275 and 52287, than apply into the LCM equation.

GCF(52275,52287) = 3
LCM(52275,52287) = ( 52275 × 52287) / 3
LCM(52275,52287) = 2733302925 / 3
LCM(52275,52287) = 911100975

Least Common Multiple (LCM) of 52275 and 52287 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52275 and 52287. First we will calculate the prime factors of 52275 and 52287.

Prime Factorization of 52275

Prime Factorization of 52287

Now multiplying the highest exponent prime factors to calculate the LCM of 52275 and 52287.

LCM(52275,52287) = 3¹ × 5² × 17¹ × 41¹ × 29¹ × 601¹
LCM(52275,52287) = 911100975