What is the Least Common Multiple of 9205 and 9221?

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 9205 and 9221 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9205 and 9221, than apply into the LCM equation.

GCF(9205,9221) = 1
LCM(9205,9221) = ( 9205 × 9221) / 1
LCM(9205,9221) = 84879305 / 1
LCM(9205,9221) = 84879305

Least Common Multiple (LCM) of 9205 and 9221 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9205 and 9221. First we will calculate the prime factors of 9205 and 9221.

Prime Factorization of 9205

Prime Factorization of 9221

Now multiplying the highest exponent prime factors to calculate the LCM of 9205 and 9221.

LCM(9205,9221) = 5¹ × 7¹ × 263¹ × 9221¹
LCM(9205,9221) = 84879305