What is the Least Common Multiple of 22259 and 22279?
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 22259 and 22279 is 495908261.
LCM(22259,22279) = 495908261
Least Common Multiple of 22259 and 22279 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22259 and 22279, than apply into the LCM equation.
GCF(22259,22279) = 1
LCM(22259,22279) = ( 22259 × 22279) / 1
LCM(22259,22279) = 495908261 / 1
LCM(22259,22279) = 495908261
Least Common Multiple (LCM) of 22259 and 22279 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 22259 and 22279. First we will calculate the prime factors of 22259 and 22279.
Prime Factorization of 22259
Prime factors of 22259 are 22259. Prime factorization of 22259 in exponential form is:
22259 = 222591
Prime Factorization of 22279
Prime factors of 22279 are 22279. Prime factorization of 22279 in exponential form is:
22279 = 222791
Now multiplying the highest exponent prime factors to calculate the LCM of 22259 and 22279.
LCM(22259,22279) = 222591 × 222791
LCM(22259,22279) = 495908261
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