What is the Least Common Multiple of 22431 and 22439?
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 22431 and 22439 is 503329209.
LCM(22431,22439) = 503329209
Least Common Multiple of 22431 and 22439 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22431 and 22439, than apply into the LCM equation.
GCF(22431,22439) = 1
LCM(22431,22439) = ( 22431 × 22439) / 1
LCM(22431,22439) = 503329209 / 1
LCM(22431,22439) = 503329209
Least Common Multiple (LCM) of 22431 and 22439 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 22431 and 22439. First we will calculate the prime factors of 22431 and 22439.
Prime Factorization of 22431
Prime factors of 22431 are 3, 7477. Prime factorization of 22431 in exponential form is:
22431 = 31 × 74771
Prime Factorization of 22439
Prime factors of 22439 are 19, 1181. Prime factorization of 22439 in exponential form is:
22439 = 191 × 11811
Now multiplying the highest exponent prime factors to calculate the LCM of 22431 and 22439.
LCM(22431,22439) = 31 × 74771 × 191 × 11811
LCM(22431,22439) = 503329209
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