What is the Least Common Multiple of 96397 and 96409?

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 96397 and 96409 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96397 and 96409, than apply into the LCM equation.

GCF(96397,96409) = 1
LCM(96397,96409) = ( 96397 × 96409) / 1
LCM(96397,96409) = 9293538373 / 1
LCM(96397,96409) = 9293538373

Least Common Multiple (LCM) of 96397 and 96409 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96397 and 96409. First we will calculate the prime factors of 96397 and 96409.

Prime Factorization of 96397

Prime Factorization of 96409

Now multiplying the highest exponent prime factors to calculate the LCM of 96397 and 96409.

LCM(96397,96409) = 7¹ × 47¹ × 293¹ × 229¹ × 421¹
LCM(96397,96409) = 9293538373