What is the Least Common Multiple of 16858 and 16863?
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 16858 and 16863 is 284276454.
LCM(16858,16863) = 284276454
Least Common Multiple of 16858 and 16863 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16858 and 16863, than apply into the LCM equation.
GCF(16858,16863) = 1
LCM(16858,16863) = ( 16858 × 16863) / 1
LCM(16858,16863) = 284276454 / 1
LCM(16858,16863) = 284276454
Least Common Multiple (LCM) of 16858 and 16863 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 16858 and 16863. First we will calculate the prime factors of 16858 and 16863.
Prime Factorization of 16858
Prime factors of 16858 are 2, 8429. Prime factorization of 16858 in exponential form is:
16858 = 21 × 84291
Prime Factorization of 16863
Prime factors of 16863 are 3, 7, 11, 73. Prime factorization of 16863 in exponential form is:
16863 = 31 × 71 × 111 × 731
Now multiplying the highest exponent prime factors to calculate the LCM of 16858 and 16863.
LCM(16858,16863) = 21 × 84291 × 31 × 71 × 111 × 731
LCM(16858,16863) = 284276454
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