What is the Least Common Multiple of 92080 and 92086?

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 92080 and 92086 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92080 and 92086, than apply into the LCM equation.

GCF(92080,92086) = 2
LCM(92080,92086) = ( 92080 × 92086) / 2
LCM(92080,92086) = 8479278880 / 2
LCM(92080,92086) = 4239639440

Least Common Multiple (LCM) of 92080 and 92086 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92080 and 92086. First we will calculate the prime factors of 92080 and 92086.

Prime Factorization of 92080

Prime Factorization of 92086

Now multiplying the highest exponent prime factors to calculate the LCM of 92080 and 92086.

LCM(92080,92086) = 2⁴ × 5¹ × 1151¹ × 41¹ × 1123¹
LCM(92080,92086) = 4239639440