What is the Least Common Multiple of 96349 and 96353?

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 96349 and 96353 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96349 and 96353, than apply into the LCM equation.

GCF(96349,96353) = 1
LCM(96349,96353) = ( 96349 × 96353) / 1
LCM(96349,96353) = 9283515197 / 1
LCM(96349,96353) = 9283515197

Least Common Multiple (LCM) of 96349 and 96353 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96349 and 96353. First we will calculate the prime factors of 96349 and 96353.

Prime Factorization of 96349

Prime Factorization of 96353

Now multiplying the highest exponent prime factors to calculate the LCM of 96349 and 96353.

LCM(96349,96353) = 11¹ × 19¹ × 461¹ × 96353¹
LCM(96349,96353) = 9283515197