What is the Least Common Multiple of 96345 and 96351?

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 96345 and 96351 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96345 and 96351, than apply into the LCM equation.

GCF(96345,96351) = 3
LCM(96345,96351) = ( 96345 × 96351) / 3
LCM(96345,96351) = 9282937095 / 3
LCM(96345,96351) = 3094312365

Least Common Multiple (LCM) of 96345 and 96351 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96345 and 96351. First we will calculate the prime factors of 96345 and 96351.

Prime Factorization of 96345

Prime Factorization of 96351

Now multiplying the highest exponent prime factors to calculate the LCM of 96345 and 96351.

LCM(96345,96351) = 3² × 5¹ × 2141¹ × 32117¹
LCM(96345,96351) = 3094312365