What is the Least Common Multiple of 94332 and 94336?

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 94332 and 94336 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94332 and 94336, than apply into the LCM equation.

GCF(94332,94336) = 4
LCM(94332,94336) = ( 94332 × 94336) / 4
LCM(94332,94336) = 8898903552 / 4
LCM(94332,94336) = 2224725888

Least Common Multiple (LCM) of 94332 and 94336 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94332 and 94336. First we will calculate the prime factors of 94332 and 94336.

Prime Factorization of 94332

Prime Factorization of 94336

Now multiplying the highest exponent prime factors to calculate the LCM of 94332 and 94336.

LCM(94332,94336) = 2⁷ × 3¹ × 7¹ × 1123¹ × 11¹ × 67¹
LCM(94332,94336) = 2224725888