What is the Least Common Multiple of 92209 and 92221?

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 92209 and 92221 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92209 and 92221, than apply into the LCM equation.

GCF(92209,92221) = 1
LCM(92209,92221) = ( 92209 × 92221) / 1
LCM(92209,92221) = 8503606189 / 1
LCM(92209,92221) = 8503606189

Least Common Multiple (LCM) of 92209 and 92221 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92209 and 92221. First we will calculate the prime factors of 92209 and 92221.

Prime Factorization of 92209

Prime Factorization of 92221

Now multiplying the highest exponent prime factors to calculate the LCM of 92209 and 92221.

LCM(92209,92221) = 13¹ × 41¹ × 173¹ × 92221¹
LCM(92209,92221) = 8503606189