What is the Least Common Multiple of 28260 and 28275?

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 28260 and 28275 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28260 and 28275, than apply into the LCM equation.

GCF(28260,28275) = 15
LCM(28260,28275) = ( 28260 × 28275) / 15
LCM(28260,28275) = 799051500 / 15
LCM(28260,28275) = 53270100

Least Common Multiple (LCM) of 28260 and 28275 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28260 and 28275. First we will calculate the prime factors of 28260 and 28275.

Prime Factorization of 28260

Prime Factorization of 28275

Now multiplying the highest exponent prime factors to calculate the LCM of 28260 and 28275.

LCM(28260,28275) = 2² × 3² × 5² × 157¹ × 13¹ × 29¹
LCM(28260,28275) = 53270100