What is the Least Common Multiple of 16887 and 16898?
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 16887 and 16898 is 285356526.
LCM(16887,16898) = 285356526
Least Common Multiple of 16887 and 16898 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16887 and 16898, than apply into the LCM equation.
GCF(16887,16898) = 1
LCM(16887,16898) = ( 16887 × 16898) / 1
LCM(16887,16898) = 285356526 / 1
LCM(16887,16898) = 285356526
Least Common Multiple (LCM) of 16887 and 16898 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 16887 and 16898. First we will calculate the prime factors of 16887 and 16898.
Prime Factorization of 16887
Prime factors of 16887 are 3, 13, 433. Prime factorization of 16887 in exponential form is:
16887 = 31 × 131 × 4331
Prime Factorization of 16898
Prime factors of 16898 are 2, 7, 17, 71. Prime factorization of 16898 in exponential form is:
16898 = 21 × 71 × 171 × 711
Now multiplying the highest exponent prime factors to calculate the LCM of 16887 and 16898.
LCM(16887,16898) = 31 × 131 × 4331 × 21 × 71 × 171 × 711
LCM(16887,16898) = 285356526
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