What is the Least Common Multiple of 9221 and 9227?
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 (LCM) of 9221 and 9227 is 85082167.
LCM(9221,9227) = 85082167
Least Common Multiple of 9221 and 9227 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9221 and 9227, than apply into the LCM equation.
GCF(9221,9227) = 1
LCM(9221,9227) = ( 9221 × 9227) / 1
LCM(9221,9227) = 85082167 / 1
LCM(9221,9227) = 85082167
Least Common Multiple (LCM) of 9221 and 9227 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 9221 and 9227. First we will calculate the prime factors of 9221 and 9227.
Prime Factorization of 9221
Prime factors of 9221 are 9221. Prime factorization of 9221 in exponential form is:
9221 = 92211
Prime Factorization of 9227
Prime factors of 9227 are 9227. Prime factorization of 9227 in exponential form is:
9227 = 92271
Now multiplying the highest exponent prime factors to calculate the LCM of 9221 and 9227.
LCM(9221,9227) = 92211 × 92271
LCM(9221,9227) = 85082167
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