What is the Least Common Multiple of 22359 and 22369?
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 22359 and 22369 is 500148471.
LCM(22359,22369) = 500148471
Least Common Multiple of 22359 and 22369 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22359 and 22369, than apply into the LCM equation.
GCF(22359,22369) = 1
LCM(22359,22369) = ( 22359 × 22369) / 1
LCM(22359,22369) = 500148471 / 1
LCM(22359,22369) = 500148471
Least Common Multiple (LCM) of 22359 and 22369 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 22359 and 22369. First we will calculate the prime factors of 22359 and 22369.
Prime Factorization of 22359
Prime factors of 22359 are 3, 29, 257. Prime factorization of 22359 in exponential form is:
22359 = 31 × 291 × 2571
Prime Factorization of 22369
Prime factors of 22369 are 22369. Prime factorization of 22369 in exponential form is:
22369 = 223691
Now multiplying the highest exponent prime factors to calculate the LCM of 22359 and 22369.
LCM(22359,22369) = 31 × 291 × 2571 × 223691
LCM(22359,22369) = 500148471
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