What is the Least Common Multiple of 96336 and 96346?

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 96346 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 96346, than apply into the LCM equation.

GCF(96336,96346) = 2
LCM(96336,96346) = ( 96336 × 96346) / 2
LCM(96336,96346) = 9281588256 / 2
LCM(96336,96346) = 4640794128

Least Common Multiple (LCM) of 96336 and 96346 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96336 and 96346. First we will calculate the prime factors of 96336 and 96346.

Prime Factorization of 96336

Prime Factorization of 96346

Now multiplying the highest exponent prime factors to calculate the LCM of 96336 and 96346.

LCM(96336,96346) = 2⁴ × 3³ × 223¹ × 67¹ × 719¹
LCM(96336,96346) = 4640794128