What is the Least Common Multiple of 96345 and 96360?

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 96360 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 96360, than apply into the LCM equation.

GCF(96345,96360) = 15
LCM(96345,96360) = ( 96345 × 96360) / 15
LCM(96345,96360) = 9283804200 / 15
LCM(96345,96360) = 618920280

Least Common Multiple (LCM) of 96345 and 96360 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96345 and 96360. First we will calculate the prime factors of 96345 and 96360.

Prime Factorization of 96345

Prime Factorization of 96360

Now multiplying the highest exponent prime factors to calculate the LCM of 96345 and 96360.

LCM(96345,96360) = 3² × 5¹ × 2141¹ × 2³ × 11¹ × 73¹
LCM(96345,96360) = 618920280