What is the Least Common Multiple of 96816 and 96831?

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 96816 and 96831 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96816 and 96831, than apply into the LCM equation.

GCF(96816,96831) = 3
LCM(96816,96831) = ( 96816 × 96831) / 3
LCM(96816,96831) = 9374790096 / 3
LCM(96816,96831) = 3124930032

Least Common Multiple (LCM) of 96816 and 96831 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96816 and 96831. First we will calculate the prime factors of 96816 and 96831.

Prime Factorization of 96816

Prime Factorization of 96831

Now multiplying the highest exponent prime factors to calculate the LCM of 96816 and 96831.

LCM(96816,96831) = 2⁴ × 3² × 2017¹ × 7¹ × 29¹ × 53¹
LCM(96816,96831) = 3124930032