What is the Least Common Multiple of 22879 and 22886?
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 22879 and 22886 is 523608794.
LCM(22879,22886) = 523608794
Least Common Multiple of 22879 and 22886 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22879 and 22886, than apply into the LCM equation.
GCF(22879,22886) = 1
LCM(22879,22886) = ( 22879 × 22886) / 1
LCM(22879,22886) = 523608794 / 1
LCM(22879,22886) = 523608794
Least Common Multiple (LCM) of 22879 and 22886 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 22879 and 22886. First we will calculate the prime factors of 22879 and 22886.
Prime Factorization of 22879
Prime factors of 22879 are 137, 167. Prime factorization of 22879 in exponential form is:
22879 = 1371 × 1671
Prime Factorization of 22886
Prime factors of 22886 are 2, 11443. Prime factorization of 22886 in exponential form is:
22886 = 21 × 114431
Now multiplying the highest exponent prime factors to calculate the LCM of 22879 and 22886.
LCM(22879,22886) = 1371 × 1671 × 21 × 114431
LCM(22879,22886) = 523608794
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