What is the Least Common Multiple of 96945 and 96963?

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 96945 and 96963 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96945 and 96963, than apply into the LCM equation.

GCF(96945,96963) = 3
LCM(96945,96963) = ( 96945 × 96963) / 3
LCM(96945,96963) = 9400078035 / 3
LCM(96945,96963) = 3133359345

Least Common Multiple (LCM) of 96945 and 96963 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96945 and 96963. First we will calculate the prime factors of 96945 and 96963.

Prime Factorization of 96945

Prime Factorization of 96963

Now multiplying the highest exponent prime factors to calculate the LCM of 96945 and 96963.

LCM(96945,96963) = 3¹ × 5¹ × 23¹ × 281¹ × 32321¹
LCM(96945,96963) = 3133359345