What is the Least Common Multiple of 16873 and 16883?
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 16873 and 16883 is 284866859.
LCM(16873,16883) = 284866859
Least Common Multiple of 16873 and 16883 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16873 and 16883, than apply into the LCM equation.
GCF(16873,16883) = 1
LCM(16873,16883) = ( 16873 × 16883) / 1
LCM(16873,16883) = 284866859 / 1
LCM(16873,16883) = 284866859
Least Common Multiple (LCM) of 16873 and 16883 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 16873 and 16883. First we will calculate the prime factors of 16873 and 16883.
Prime Factorization of 16873
Prime factors of 16873 are 47, 359. Prime factorization of 16873 in exponential form is:
16873 = 471 × 3591
Prime Factorization of 16883
Prime factors of 16883 are 16883. Prime factorization of 16883 in exponential form is:
16883 = 168831
Now multiplying the highest exponent prime factors to calculate the LCM of 16873 and 16883.
LCM(16873,16883) = 471 × 3591 × 168831
LCM(16873,16883) = 284866859
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