What is the Least Common Multiple of 92000 and 92011?

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 92000 and 92011 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92000 and 92011, than apply into the LCM equation.

GCF(92000,92011) = 1
LCM(92000,92011) = ( 92000 × 92011) / 1
LCM(92000,92011) = 8465012000 / 1
LCM(92000,92011) = 8465012000

Least Common Multiple (LCM) of 92000 and 92011 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92000 and 92011. First we will calculate the prime factors of 92000 and 92011.

Prime Factorization of 92000

Prime Factorization of 92011

Now multiplying the highest exponent prime factors to calculate the LCM of 92000 and 92011.

LCM(92000,92011) = 2⁵ × 5³ × 23¹ × 101¹ × 911¹
LCM(92000,92011) = 8465012000