What is the Least Common Multiple of 28801 and 28815?

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 28801 and 28815 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28801 and 28815, than apply into the LCM equation.

GCF(28801,28815) = 1
LCM(28801,28815) = ( 28801 × 28815) / 1
LCM(28801,28815) = 829900815 / 1
LCM(28801,28815) = 829900815

Least Common Multiple (LCM) of 28801 and 28815 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28801 and 28815. First we will calculate the prime factors of 28801 and 28815.

Prime Factorization of 28801

Prime Factorization of 28815

Now multiplying the highest exponent prime factors to calculate the LCM of 28801 and 28815.

LCM(28801,28815) = 83¹ × 347¹ × 3¹ × 5¹ × 17¹ × 113¹
LCM(28801,28815) = 829900815