What is the Least Common Multiple of 16906 and 16914?
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 16906 and 16914 is 142974042.
LCM(16906,16914) = 142974042
Least Common Multiple of 16906 and 16914 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16906 and 16914, than apply into the LCM equation.
GCF(16906,16914) = 2
LCM(16906,16914) = ( 16906 × 16914) / 2
LCM(16906,16914) = 285948084 / 2
LCM(16906,16914) = 142974042
Least Common Multiple (LCM) of 16906 and 16914 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 16906 and 16914. First we will calculate the prime factors of 16906 and 16914.
Prime Factorization of 16906
Prime factors of 16906 are 2, 79, 107. Prime factorization of 16906 in exponential form is:
16906 = 21 × 791 × 1071
Prime Factorization of 16914
Prime factors of 16914 are 2, 3, 2819. Prime factorization of 16914 in exponential form is:
16914 = 21 × 31 × 28191
Now multiplying the highest exponent prime factors to calculate the LCM of 16906 and 16914.
LCM(16906,16914) = 21 × 791 × 1071 × 31 × 28191
LCM(16906,16914) = 142974042
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