What is the Least Common Multiple of 28815 and 28830?

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 28830 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 28830, than apply into the LCM equation.

GCF(28815,28830) = 15
LCM(28815,28830) = ( 28815 × 28830) / 15
LCM(28815,28830) = 830736450 / 15
LCM(28815,28830) = 55382430

Least Common Multiple (LCM) of 28815 and 28830 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28815 and 28830. First we will calculate the prime factors of 28815 and 28830.

Prime Factorization of 28815

Prime Factorization of 28830

Now multiplying the highest exponent prime factors to calculate the LCM of 28815 and 28830.

LCM(28815,28830) = 3¹ × 5¹ × 17¹ × 113¹ × 2¹ × 31²
LCM(28815,28830) = 55382430