What is the Least Common Multiple of 28338 and 28352?

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 28338 and 28352 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28338 and 28352, than apply into the LCM equation.

GCF(28338,28352) = 2
LCM(28338,28352) = ( 28338 × 28352) / 2
LCM(28338,28352) = 803438976 / 2
LCM(28338,28352) = 401719488

Least Common Multiple (LCM) of 28338 and 28352 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28338 and 28352. First we will calculate the prime factors of 28338 and 28352.

Prime Factorization of 28338

Prime Factorization of 28352

Now multiplying the highest exponent prime factors to calculate the LCM of 28338 and 28352.

LCM(28338,28352) = 2⁶ × 3¹ × 4723¹ × 443¹
LCM(28338,28352) = 401719488