What is the Least Common Multiple of 96346 and 96361?

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 96346 and 96361 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96346 and 96361, than apply into the LCM equation.

GCF(96346,96361) = 1
LCM(96346,96361) = ( 96346 × 96361) / 1
LCM(96346,96361) = 9283996906 / 1
LCM(96346,96361) = 9283996906

Least Common Multiple (LCM) of 96346 and 96361 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96346 and 96361. First we will calculate the prime factors of 96346 and 96361.

Prime Factorization of 96346

Prime Factorization of 96361

Now multiplying the highest exponent prime factors to calculate the LCM of 96346 and 96361.

LCM(96346,96361) = 2¹ × 67¹ × 719¹ × 173¹ × 557¹
LCM(96346,96361) = 9283996906