What is the Least Common Multiple of 96383 and 96397?

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 96383 and 96397 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96383 and 96397, than apply into the LCM equation.

GCF(96383,96397) = 7
LCM(96383,96397) = ( 96383 × 96397) / 7
LCM(96383,96397) = 9291032051 / 7
LCM(96383,96397) = 1327290293

Least Common Multiple (LCM) of 96383 and 96397 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96383 and 96397. First we will calculate the prime factors of 96383 and 96397.

Prime Factorization of 96383

Prime Factorization of 96397

Now multiplying the highest exponent prime factors to calculate the LCM of 96383 and 96397.

LCM(96383,96397) = 7³ × 281¹ × 47¹ × 293¹
LCM(96383,96397) = 1327290293