What is the Least Common Multiple of 23459 and 23477?
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 23459 and 23477 is 550746943.
LCM(23459,23477) = 550746943
Least Common Multiple of 23459 and 23477 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23459 and 23477, than apply into the LCM equation.
GCF(23459,23477) = 1
LCM(23459,23477) = ( 23459 × 23477) / 1
LCM(23459,23477) = 550746943 / 1
LCM(23459,23477) = 550746943
Least Common Multiple (LCM) of 23459 and 23477 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 23459 and 23477. First we will calculate the prime factors of 23459 and 23477.
Prime Factorization of 23459
Prime factors of 23459 are 23459. Prime factorization of 23459 in exponential form is:
23459 = 234591
Prime Factorization of 23477
Prime factors of 23477 are 17, 1381. Prime factorization of 23477 in exponential form is:
23477 = 171 × 13811
Now multiplying the highest exponent prime factors to calculate the LCM of 23459 and 23477.
LCM(23459,23477) = 234591 × 171 × 13811
LCM(23459,23477) = 550746943
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