What is the Least Common Multiple of 28336 and 28342?

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 28336 and 28342 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28336 and 28342, than apply into the LCM equation.

GCF(28336,28342) = 2
LCM(28336,28342) = ( 28336 × 28342) / 2
LCM(28336,28342) = 803098912 / 2
LCM(28336,28342) = 401549456

Least Common Multiple (LCM) of 28336 and 28342 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28336 and 28342. First we will calculate the prime factors of 28336 and 28342.

Prime Factorization of 28336

Prime Factorization of 28342

Now multiplying the highest exponent prime factors to calculate the LCM of 28336 and 28342.

LCM(28336,28342) = 2⁴ × 7¹ × 11¹ × 23¹ × 37¹ × 383¹
LCM(28336,28342) = 401549456