What is the Least Common Multiple of 94304 and 94322?

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 94304 and 94322 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94304 and 94322, than apply into the LCM equation.

GCF(94304,94322) = 2
LCM(94304,94322) = ( 94304 × 94322) / 2
LCM(94304,94322) = 8894941888 / 2
LCM(94304,94322) = 4447470944

Least Common Multiple (LCM) of 94304 and 94322 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94304 and 94322. First we will calculate the prime factors of 94304 and 94322.

Prime Factorization of 94304

Prime Factorization of 94322

Now multiplying the highest exponent prime factors to calculate the LCM of 94304 and 94322.

LCM(94304,94322) = 2⁵ × 7¹ × 421¹ × 47161¹
LCM(94304,94322) = 4447470944