What is the Least Common Multiple of 96016 and 96033?

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 96016 and 96033 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96016 and 96033, than apply into the LCM equation.

GCF(96016,96033) = 17
LCM(96016,96033) = ( 96016 × 96033) / 17
LCM(96016,96033) = 9220704528 / 17
LCM(96016,96033) = 542394384

Least Common Multiple (LCM) of 96016 and 96033 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96016 and 96033. First we will calculate the prime factors of 96016 and 96033.

Prime Factorization of 96016

Prime Factorization of 96033

Now multiplying the highest exponent prime factors to calculate the LCM of 96016 and 96033.

LCM(96016,96033) = 2⁴ × 17¹ × 353¹ × 3¹ × 7¹ × 269¹
LCM(96016,96033) = 542394384