What is the Least Common Multiple of 22559 and 22571?
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 22559 and 22571 is 509179189.
LCM(22559,22571) = 509179189
Least Common Multiple of 22559 and 22571 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22559 and 22571, than apply into the LCM equation.
GCF(22559,22571) = 1
LCM(22559,22571) = ( 22559 × 22571) / 1
LCM(22559,22571) = 509179189 / 1
LCM(22559,22571) = 509179189
Least Common Multiple (LCM) of 22559 and 22571 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 22559 and 22571. First we will calculate the prime factors of 22559 and 22571.
Prime Factorization of 22559
Prime factors of 22559 are 17, 1327. Prime factorization of 22559 in exponential form is:
22559 = 171 × 13271
Prime Factorization of 22571
Prime factors of 22571 are 22571. Prime factorization of 22571 in exponential form is:
22571 = 225711
Now multiplying the highest exponent prime factors to calculate the LCM of 22559 and 22571.
LCM(22559,22571) = 171 × 13271 × 225711
LCM(22559,22571) = 509179189
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