What is the Least Common Multiple of 22883 and 22895?
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 22883 and 22895 is 523906285.
LCM(22883,22895) = 523906285
Least Common Multiple of 22883 and 22895 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22883 and 22895, than apply into the LCM equation.
GCF(22883,22895) = 1
LCM(22883,22895) = ( 22883 × 22895) / 1
LCM(22883,22895) = 523906285 / 1
LCM(22883,22895) = 523906285
Least Common Multiple (LCM) of 22883 and 22895 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 22883 and 22895. First we will calculate the prime factors of 22883 and 22895.
Prime Factorization of 22883
Prime factors of 22883 are 7, 467. Prime factorization of 22883 in exponential form is:
22883 = 72 × 4671
Prime Factorization of 22895
Prime factors of 22895 are 5, 19, 241. Prime factorization of 22895 in exponential form is:
22895 = 51 × 191 × 2411
Now multiplying the highest exponent prime factors to calculate the LCM of 22883 and 22895.
LCM(22883,22895) = 72 × 4671 × 51 × 191 × 2411
LCM(22883,22895) = 523906285
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