What is the Least Common Multiple of 93696 and 93705?

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 93696 and 93705 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93696 and 93705, than apply into the LCM equation.

GCF(93696,93705) = 3
LCM(93696,93705) = ( 93696 × 93705) / 3
LCM(93696,93705) = 8779783680 / 3
LCM(93696,93705) = 2926594560

Least Common Multiple (LCM) of 93696 and 93705 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93696 and 93705. First we will calculate the prime factors of 93696 and 93705.

Prime Factorization of 93696

Prime Factorization of 93705

Now multiplying the highest exponent prime factors to calculate the LCM of 93696 and 93705.

LCM(93696,93705) = 2⁹ × 3¹ × 61¹ × 5¹ × 6247¹
LCM(93696,93705) = 2926594560