What is the Least Common Multiple of 22558 and 22567?
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 22558 and 22567 is 509066386.
LCM(22558,22567) = 509066386
Least Common Multiple of 22558 and 22567 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22558 and 22567, than apply into the LCM equation.
GCF(22558,22567) = 1
LCM(22558,22567) = ( 22558 × 22567) / 1
LCM(22558,22567) = 509066386 / 1
LCM(22558,22567) = 509066386
Least Common Multiple (LCM) of 22558 and 22567 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 22558 and 22567. First we will calculate the prime factors of 22558 and 22567.
Prime Factorization of 22558
Prime factors of 22558 are 2, 11279. Prime factorization of 22558 in exponential form is:
22558 = 21 × 112791
Prime Factorization of 22567
Prime factors of 22567 are 22567. Prime factorization of 22567 in exponential form is:
22567 = 225671
Now multiplying the highest exponent prime factors to calculate the LCM of 22558 and 22567.
LCM(22558,22567) = 21 × 112791 × 225671
LCM(22558,22567) = 509066386
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