What is the Least Common Multiple of 92016 and 92022?

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 92016 and 92022 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92016 and 92022, than apply into the LCM equation.

GCF(92016,92022) = 6
LCM(92016,92022) = ( 92016 × 92022) / 6
LCM(92016,92022) = 8467496352 / 6
LCM(92016,92022) = 1411249392

Least Common Multiple (LCM) of 92016 and 92022 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92016 and 92022. First we will calculate the prime factors of 92016 and 92022.

Prime Factorization of 92016

Prime Factorization of 92022

Now multiplying the highest exponent prime factors to calculate the LCM of 92016 and 92022.

LCM(92016,92022) = 2⁴ × 3⁴ × 71¹ × 7² × 313¹
LCM(92016,92022) = 1411249392