What is the Least Common Multiple of 92809 and 92827?

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 92809 and 92827 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92809 and 92827, than apply into the LCM equation.

GCF(92809,92827) = 1
LCM(92809,92827) = ( 92809 × 92827) / 1
LCM(92809,92827) = 8615181043 / 1
LCM(92809,92827) = 8615181043

Least Common Multiple (LCM) of 92809 and 92827 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92809 and 92827. First we will calculate the prime factors of 92809 and 92827.

Prime Factorization of 92809

Prime Factorization of 92827

Now multiplying the highest exponent prime factors to calculate the LCM of 92809 and 92827.

LCM(92809,92827) = 92809¹ × 7¹ × 89¹ × 149¹
LCM(92809,92827) = 8615181043