What is the Least Common Multiple of 22483 and 22487?
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 22483 and 22487 is 505575221.
LCM(22483,22487) = 505575221
Least Common Multiple of 22483 and 22487 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22483 and 22487, than apply into the LCM equation.
GCF(22483,22487) = 1
LCM(22483,22487) = ( 22483 × 22487) / 1
LCM(22483,22487) = 505575221 / 1
LCM(22483,22487) = 505575221
Least Common Multiple (LCM) of 22483 and 22487 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 22483 and 22487. First we will calculate the prime factors of 22483 and 22487.
Prime Factorization of 22483
Prime factors of 22483 are 22483. Prime factorization of 22483 in exponential form is:
22483 = 224831
Prime Factorization of 22487
Prime factors of 22487 are 113, 199. Prime factorization of 22487 in exponential form is:
22487 = 1131 × 1991
Now multiplying the highest exponent prime factors to calculate the LCM of 22483 and 22487.
LCM(22483,22487) = 224831 × 1131 × 1991
LCM(22483,22487) = 505575221
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