What is the Least Common Multiple of 4260 and 4275?

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 4260 and 4275 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4260 and 4275, than apply into the LCM equation.

GCF(4260,4275) = 15
LCM(4260,4275) = ( 4260 × 4275) / 15
LCM(4260,4275) = 18211500 / 15
LCM(4260,4275) = 1214100

Least Common Multiple (LCM) of 4260 and 4275 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4260 and 4275. First we will calculate the prime factors of 4260 and 4275.

Prime Factorization of 4260

Prime Factorization of 4275

Now multiplying the highest exponent prime factors to calculate the LCM of 4260 and 4275.

LCM(4260,4275) = 2² × 3² × 5² × 71¹ × 19¹
LCM(4260,4275) = 1214100