What is the Least Common Multiple of 28302 and 28322?

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 28302 and 28322 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28302 and 28322, than apply into the LCM equation.

GCF(28302,28322) = 2
LCM(28302,28322) = ( 28302 × 28322) / 2
LCM(28302,28322) = 801569244 / 2
LCM(28302,28322) = 400784622

Least Common Multiple (LCM) of 28302 and 28322 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28302 and 28322. First we will calculate the prime factors of 28302 and 28322.

Prime Factorization of 28302

Prime Factorization of 28322

Now multiplying the highest exponent prime factors to calculate the LCM of 28302 and 28322.

LCM(28302,28322) = 2¹ × 3¹ × 53¹ × 89¹ × 7² × 17²
LCM(28302,28322) = 400784622