What is the Least Common Multiple of 96108 and 96112?

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 96108 and 96112 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96108 and 96112, than apply into the LCM equation.

GCF(96108,96112) = 4
LCM(96108,96112) = ( 96108 × 96112) / 4
LCM(96108,96112) = 9237132096 / 4
LCM(96108,96112) = 2309283024

Least Common Multiple (LCM) of 96108 and 96112 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96108 and 96112. First we will calculate the prime factors of 96108 and 96112.

Prime Factorization of 96108

Prime Factorization of 96112

Now multiplying the highest exponent prime factors to calculate the LCM of 96108 and 96112.

LCM(96108,96112) = 2⁴ × 3¹ × 8009¹ × 6007¹
LCM(96108,96112) = 2309283024