What is the Least Common Multiple of 99336 and 99346?

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 99336 and 99346 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99336 and 99346, than apply into the LCM equation.

GCF(99336,99346) = 2
LCM(99336,99346) = ( 99336 × 99346) / 2
LCM(99336,99346) = 9868634256 / 2
LCM(99336,99346) = 4934317128

Least Common Multiple (LCM) of 99336 and 99346 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99336 and 99346. First we will calculate the prime factors of 99336 and 99346.

Prime Factorization of 99336

Prime Factorization of 99346

Now multiplying the highest exponent prime factors to calculate the LCM of 99336 and 99346.

LCM(99336,99346) = 2³ × 3¹ × 4139¹ × 13¹ × 3821¹
LCM(99336,99346) = 4934317128