What is the Least Common Multiple of 28515 and 28533?

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 28515 and 28533 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28515 and 28533, than apply into the LCM equation.

GCF(28515,28533) = 3
LCM(28515,28533) = ( 28515 × 28533) / 3
LCM(28515,28533) = 813618495 / 3
LCM(28515,28533) = 271206165

Least Common Multiple (LCM) of 28515 and 28533 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28515 and 28533. First we will calculate the prime factors of 28515 and 28533.

Prime Factorization of 28515

Prime Factorization of 28533

Now multiplying the highest exponent prime factors to calculate the LCM of 28515 and 28533.

LCM(28515,28533) = 3¹ × 5¹ × 1901¹ × 9511¹
LCM(28515,28533) = 271206165