What is the Least Common Multiple of 22439 and 22453?
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 22439 and 22453 is 503822867.
LCM(22439,22453) = 503822867
Least Common Multiple of 22439 and 22453 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22439 and 22453, than apply into the LCM equation.
GCF(22439,22453) = 1
LCM(22439,22453) = ( 22439 × 22453) / 1
LCM(22439,22453) = 503822867 / 1
LCM(22439,22453) = 503822867
Least Common Multiple (LCM) of 22439 and 22453 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 22439 and 22453. First we will calculate the prime factors of 22439 and 22453.
Prime Factorization of 22439
Prime factors of 22439 are 19, 1181. Prime factorization of 22439 in exponential form is:
22439 = 191 × 11811
Prime Factorization of 22453
Prime factors of 22453 are 22453. Prime factorization of 22453 in exponential form is:
22453 = 224531
Now multiplying the highest exponent prime factors to calculate the LCM of 22439 and 22453.
LCM(22439,22453) = 191 × 11811 × 224531
LCM(22439,22453) = 503822867
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