What is the Least Common Multiple of 83091 and 83097?

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 83091 and 83097 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83091 and 83097, than apply into the LCM equation.

GCF(83091,83097) = 3
LCM(83091,83097) = ( 83091 × 83097) / 3
LCM(83091,83097) = 6904612827 / 3
LCM(83091,83097) = 2301537609

Least Common Multiple (LCM) of 83091 and 83097 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83091 and 83097. First we will calculate the prime factors of 83091 and 83097.

Prime Factorization of 83091

Prime Factorization of 83097

Now multiplying the highest exponent prime factors to calculate the LCM of 83091 and 83097.

LCM(83091,83097) = 3² × 27697¹ × 7¹ × 1319¹
LCM(83091,83097) = 2301537609