What is the Least Common Multiple of 28322 and 28338?

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 28322 and 28338 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28322 and 28338, than apply into the LCM equation.

GCF(28322,28338) = 2
LCM(28322,28338) = ( 28322 × 28338) / 2
LCM(28322,28338) = 802588836 / 2
LCM(28322,28338) = 401294418

Least Common Multiple (LCM) of 28322 and 28338 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28322 and 28338. First we will calculate the prime factors of 28322 and 28338.

Prime Factorization of 28322

Prime Factorization of 28338

Now multiplying the highest exponent prime factors to calculate the LCM of 28322 and 28338.

LCM(28322,28338) = 2¹ × 7² × 17² × 3¹ × 4723¹
LCM(28322,28338) = 401294418