What is the Least Common Multiple of 93690 and 93696?

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 93690 and 93696 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93690 and 93696, than apply into the LCM equation.

GCF(93690,93696) = 6
LCM(93690,93696) = ( 93690 × 93696) / 6
LCM(93690,93696) = 8778378240 / 6
LCM(93690,93696) = 1463063040

Least Common Multiple (LCM) of 93690 and 93696 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93690 and 93696. First we will calculate the prime factors of 93690 and 93696.

Prime Factorization of 93690

Prime Factorization of 93696

Now multiplying the highest exponent prime factors to calculate the LCM of 93690 and 93696.

LCM(93690,93696) = 2⁹ × 3³ × 5¹ × 347¹ × 61¹
LCM(93690,93696) = 1463063040