What is the Least Common Multiple of 12227 and 12233?
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 12227 and 12233 is 149572891.
LCM(12227,12233) = 149572891
Least Common Multiple of 12227 and 12233 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12227 and 12233, than apply into the LCM equation.
GCF(12227,12233) = 1
LCM(12227,12233) = ( 12227 × 12233) / 1
LCM(12227,12233) = 149572891 / 1
LCM(12227,12233) = 149572891
Least Common Multiple (LCM) of 12227 and 12233 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 12227 and 12233. First we will calculate the prime factors of 12227 and 12233.
Prime Factorization of 12227
Prime factors of 12227 are 12227. Prime factorization of 12227 in exponential form is:
12227 = 122271
Prime Factorization of 12233
Prime factors of 12233 are 13, 941. Prime factorization of 12233 in exponential form is:
12233 = 131 × 9411
Now multiplying the highest exponent prime factors to calculate the LCM of 12227 and 12233.
LCM(12227,12233) = 122271 × 131 × 9411
LCM(12227,12233) = 149572891
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