What is the Least Common Multiple of 12227 and 12232?
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 12232 is 149560664.
LCM(12227,12232) = 149560664
Least Common Multiple of 12227 and 12232 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 12232, than apply into the LCM equation.
GCF(12227,12232) = 1
LCM(12227,12232) = ( 12227 × 12232) / 1
LCM(12227,12232) = 149560664 / 1
LCM(12227,12232) = 149560664
Least Common Multiple (LCM) of 12227 and 12232 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 12227 and 12232. First we will calculate the prime factors of 12227 and 12232.
Prime Factorization of 12227
Prime factors of 12227 are 12227. Prime factorization of 12227 in exponential form is:
12227 = 122271
Prime Factorization of 12232
Prime factors of 12232 are 2, 11, 139. Prime factorization of 12232 in exponential form is:
12232 = 23 × 111 × 1391
Now multiplying the highest exponent prime factors to calculate the LCM of 12227 and 12232.
LCM(12227,12232) = 122271 × 23 × 111 × 1391
LCM(12227,12232) = 149560664
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