What is the Least Common Multiple of 92809 and 92813?

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 92813 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 92813, than apply into the LCM equation.

GCF(92809,92813) = 1
LCM(92809,92813) = ( 92809 × 92813) / 1
LCM(92809,92813) = 8613881717 / 1
LCM(92809,92813) = 8613881717

Least Common Multiple (LCM) of 92809 and 92813 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92809 and 92813. First we will calculate the prime factors of 92809 and 92813.

Prime Factorization of 92809

Prime Factorization of 92813

Now multiplying the highest exponent prime factors to calculate the LCM of 92809 and 92813.

LCM(92809,92813) = 92809¹ × 7¹ × 13259¹
LCM(92809,92813) = 8613881717