What is the Least Common Multiple of 96112 and 96116?

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 96112 and 96116 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96112 and 96116, than apply into the LCM equation.

GCF(96112,96116) = 4
LCM(96112,96116) = ( 96112 × 96116) / 4
LCM(96112,96116) = 9237900992 / 4
LCM(96112,96116) = 2309475248

Least Common Multiple (LCM) of 96112 and 96116 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96112 and 96116. First we will calculate the prime factors of 96112 and 96116.

Prime Factorization of 96112

Prime Factorization of 96116

Now multiplying the highest exponent prime factors to calculate the LCM of 96112 and 96116.

LCM(96112,96116) = 2⁴ × 6007¹ × 24029¹
LCM(96112,96116) = 2309475248