What is the Least Common Multiple of 96357 and 96366?

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 96357 and 96366 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96357 and 96366, than apply into the LCM equation.

GCF(96357,96366) = 3
LCM(96357,96366) = ( 96357 × 96366) / 3
LCM(96357,96366) = 9285538662 / 3
LCM(96357,96366) = 3095179554

Least Common Multiple (LCM) of 96357 and 96366 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96357 and 96366. First we will calculate the prime factors of 96357 and 96366.

Prime Factorization of 96357

Prime Factorization of 96366

Now multiplying the highest exponent prime factors to calculate the LCM of 96357 and 96366.

LCM(96357,96366) = 3¹ × 32119¹ × 2¹ × 16061¹
LCM(96357,96366) = 3095179554