What is the Least Common Multiple of 16853 and 16862?
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 16853 and 16862 is 284175286.
LCM(16853,16862) = 284175286
Least Common Multiple of 16853 and 16862 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16853 and 16862, than apply into the LCM equation.
GCF(16853,16862) = 1
LCM(16853,16862) = ( 16853 × 16862) / 1
LCM(16853,16862) = 284175286 / 1
LCM(16853,16862) = 284175286
Least Common Multiple (LCM) of 16853 and 16862 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 16853 and 16862. First we will calculate the prime factors of 16853 and 16862.
Prime Factorization of 16853
Prime factors of 16853 are 19, 887. Prime factorization of 16853 in exponential form is:
16853 = 191 × 8871
Prime Factorization of 16862
Prime factors of 16862 are 2, 8431. Prime factorization of 16862 in exponential form is:
16862 = 21 × 84311
Now multiplying the highest exponent prime factors to calculate the LCM of 16853 and 16862.
LCM(16853,16862) = 191 × 8871 × 21 × 84311
LCM(16853,16862) = 284175286
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