What is the Least Common Multiple of 96012 and 96016?

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 96012 and 96016 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96012 and 96016, than apply into the LCM equation.

GCF(96012,96016) = 4
LCM(96012,96016) = ( 96012 × 96016) / 4
LCM(96012,96016) = 9218688192 / 4
LCM(96012,96016) = 2304672048

Least Common Multiple (LCM) of 96012 and 96016 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96012 and 96016. First we will calculate the prime factors of 96012 and 96016.

Prime Factorization of 96012

Prime Factorization of 96016

Now multiplying the highest exponent prime factors to calculate the LCM of 96012 and 96016.

LCM(96012,96016) = 2⁴ × 3³ × 7¹ × 127¹ × 17¹ × 353¹
LCM(96012,96016) = 2304672048