What is the Least Common Multiple of 28248 and 28259?

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 28248 and 28259 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28248 and 28259, than apply into the LCM equation.

GCF(28248,28259) = 11
LCM(28248,28259) = ( 28248 × 28259) / 11
LCM(28248,28259) = 798260232 / 11
LCM(28248,28259) = 72569112

Least Common Multiple (LCM) of 28248 and 28259 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28248 and 28259. First we will calculate the prime factors of 28248 and 28259.

Prime Factorization of 28248

Prime Factorization of 28259

Now multiplying the highest exponent prime factors to calculate the LCM of 28248 and 28259.

LCM(28248,28259) = 2³ × 3¹ × 11¹ × 107¹ × 7¹ × 367¹
LCM(28248,28259) = 72569112