What is the Least Common Multiple of 16094 and 16098?
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 16094 and 16098 is 129540606.
LCM(16094,16098) = 129540606
Least Common Multiple of 16094 and 16098 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16094 and 16098, than apply into the LCM equation.
GCF(16094,16098) = 2
LCM(16094,16098) = ( 16094 × 16098) / 2
LCM(16094,16098) = 259081212 / 2
LCM(16094,16098) = 129540606
Least Common Multiple (LCM) of 16094 and 16098 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 16094 and 16098. First we will calculate the prime factors of 16094 and 16098.
Prime Factorization of 16094
Prime factors of 16094 are 2, 13, 619. Prime factorization of 16094 in exponential form is:
16094 = 21 × 131 × 6191
Prime Factorization of 16098
Prime factors of 16098 are 2, 3, 2683. Prime factorization of 16098 in exponential form is:
16098 = 21 × 31 × 26831
Now multiplying the highest exponent prime factors to calculate the LCM of 16094 and 16098.
LCM(16094,16098) = 21 × 131 × 6191 × 31 × 26831
LCM(16094,16098) = 129540606
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