What is the Least Common Multiple of 96345 and 96357?

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 96357 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 96357, than apply into the LCM equation.

GCF(96345,96357) = 3
LCM(96345,96357) = ( 96345 × 96357) / 3
LCM(96345,96357) = 9283515165 / 3
LCM(96345,96357) = 3094505055

Least Common Multiple (LCM) of 96345 and 96357 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96345 and 96357. First we will calculate the prime factors of 96345 and 96357.

Prime Factorization of 96345

Prime Factorization of 96357

Now multiplying the highest exponent prime factors to calculate the LCM of 96345 and 96357.

LCM(96345,96357) = 3² × 5¹ × 2141¹ × 32119¹
LCM(96345,96357) = 3094505055