What is the Least Common Multiple of 16663 and 16676?
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 16663 and 16676 is 277872188.
LCM(16663,16676) = 277872188
Least Common Multiple of 16663 and 16676 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16663 and 16676, than apply into the LCM equation.
GCF(16663,16676) = 1
LCM(16663,16676) = ( 16663 × 16676) / 1
LCM(16663,16676) = 277872188 / 1
LCM(16663,16676) = 277872188
Least Common Multiple (LCM) of 16663 and 16676 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 16663 and 16676. First we will calculate the prime factors of 16663 and 16676.
Prime Factorization of 16663
Prime factors of 16663 are 19, 877. Prime factorization of 16663 in exponential form is:
16663 = 191 × 8771
Prime Factorization of 16676
Prime factors of 16676 are 2, 11, 379. Prime factorization of 16676 in exponential form is:
16676 = 22 × 111 × 3791
Now multiplying the highest exponent prime factors to calculate the LCM of 16663 and 16676.
LCM(16663,16676) = 191 × 8771 × 22 × 111 × 3791
LCM(16663,16676) = 277872188
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