What is the Least Common Multiple of 28605 and 28623?

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 28605 and 28623 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28605 and 28623, than apply into the LCM equation.

GCF(28605,28623) = 3
LCM(28605,28623) = ( 28605 × 28623) / 3
LCM(28605,28623) = 818760915 / 3
LCM(28605,28623) = 272920305

Least Common Multiple (LCM) of 28605 and 28623 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28605 and 28623. First we will calculate the prime factors of 28605 and 28623.

Prime Factorization of 28605

Prime Factorization of 28623

Now multiplying the highest exponent prime factors to calculate the LCM of 28605 and 28623.

LCM(28605,28623) = 3¹ × 5¹ × 1907¹ × 7¹ × 29¹ × 47¹
LCM(28605,28623) = 272920305