What is the Least Common Multiple of 22843 and 22853?
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 22843 and 22853 is 522031079.
LCM(22843,22853) = 522031079
Least Common Multiple of 22843 and 22853 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22843 and 22853, than apply into the LCM equation.
GCF(22843,22853) = 1
LCM(22843,22853) = ( 22843 × 22853) / 1
LCM(22843,22853) = 522031079 / 1
LCM(22843,22853) = 522031079
Least Common Multiple (LCM) of 22843 and 22853 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 22843 and 22853. First we will calculate the prime factors of 22843 and 22853.
Prime Factorization of 22843
Prime factors of 22843 are 53, 431. Prime factorization of 22843 in exponential form is:
22843 = 531 × 4311
Prime Factorization of 22853
Prime factors of 22853 are 22853. Prime factorization of 22853 in exponential form is:
22853 = 228531
Now multiplying the highest exponent prime factors to calculate the LCM of 22843 and 22853.
LCM(22843,22853) = 531 × 4311 × 228531
LCM(22843,22853) = 522031079
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