What is the Least Common Multiple of 96336 and 96347?

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 96336 and 96347 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96336 and 96347, than apply into the LCM equation.

GCF(96336,96347) = 1
LCM(96336,96347) = ( 96336 × 96347) / 1
LCM(96336,96347) = 9281684592 / 1
LCM(96336,96347) = 9281684592

Least Common Multiple (LCM) of 96336 and 96347 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96336 and 96347. First we will calculate the prime factors of 96336 and 96347.

Prime Factorization of 96336

Prime Factorization of 96347

Now multiplying the highest exponent prime factors to calculate the LCM of 96336 and 96347.

LCM(96336,96347) = 2⁴ × 3³ × 223¹ × 23¹ × 59¹ × 71¹
LCM(96336,96347) = 9281684592