What is the Least Common Multiple of 22877 and 22883?
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 22877 and 22883 is 523494391.
LCM(22877,22883) = 523494391
Least Common Multiple of 22877 and 22883 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22877 and 22883, than apply into the LCM equation.
GCF(22877,22883) = 1
LCM(22877,22883) = ( 22877 × 22883) / 1
LCM(22877,22883) = 523494391 / 1
LCM(22877,22883) = 523494391
Least Common Multiple (LCM) of 22877 and 22883 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 22877 and 22883. First we will calculate the prime factors of 22877 and 22883.
Prime Factorization of 22877
Prime factors of 22877 are 22877. Prime factorization of 22877 in exponential form is:
22877 = 228771
Prime Factorization of 22883
Prime factors of 22883 are 7, 467. Prime factorization of 22883 in exponential form is:
22883 = 72 × 4671
Now multiplying the highest exponent prime factors to calculate the LCM of 22877 and 22883.
LCM(22877,22883) = 228771 × 72 × 4671
LCM(22877,22883) = 523494391
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