What is the Least Common Multiple of 91259 and 91271?

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 91259 and 91271 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91259 and 91271, than apply into the LCM equation.

GCF(91259,91271) = 1
LCM(91259,91271) = ( 91259 × 91271) / 1
LCM(91259,91271) = 8329300189 / 1
LCM(91259,91271) = 8329300189

Least Common Multiple (LCM) of 91259 and 91271 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91259 and 91271. First we will calculate the prime factors of 91259 and 91271.

Prime Factorization of 91259

Prime Factorization of 91271

Now multiplying the highest exponent prime factors to calculate the LCM of 91259 and 91271.

LCM(91259,91271) = 7¹ × 13037¹ × 107¹ × 853¹
LCM(91259,91271) = 8329300189