What is the Least Common Multiple of 28815 and 28833?

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 28815 and 28833 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28815 and 28833, than apply into the LCM equation.

GCF(28815,28833) = 3
LCM(28815,28833) = ( 28815 × 28833) / 3
LCM(28815,28833) = 830822895 / 3
LCM(28815,28833) = 276940965

Least Common Multiple (LCM) of 28815 and 28833 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28815 and 28833. First we will calculate the prime factors of 28815 and 28833.

Prime Factorization of 28815

Prime Factorization of 28833

Now multiplying the highest exponent prime factors to calculate the LCM of 28815 and 28833.

LCM(28815,28833) = 3¹ × 5¹ × 17¹ × 113¹ × 7¹ × 1373¹
LCM(28815,28833) = 276940965