What is the Least Common Multiple of 94336 and 94351?

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 94336 and 94351 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94336 and 94351, than apply into the LCM equation.

GCF(94336,94351) = 1
LCM(94336,94351) = ( 94336 × 94351) / 1
LCM(94336,94351) = 8900695936 / 1
LCM(94336,94351) = 8900695936

Least Common Multiple (LCM) of 94336 and 94351 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94336 and 94351. First we will calculate the prime factors of 94336 and 94351.

Prime Factorization of 94336

Prime Factorization of 94351

Now multiplying the highest exponent prime factors to calculate the LCM of 94336 and 94351.

LCM(94336,94351) = 2⁷ × 11¹ × 67¹ × 94351¹
LCM(94336,94351) = 8900695936