What is the Least Common Multiple of 16906 and 16918?
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 16918 is 143007854.
LCM(16906,16918) = 143007854
Least Common Multiple of 16906 and 16918 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 16918, than apply into the LCM equation.
GCF(16906,16918) = 2
LCM(16906,16918) = ( 16906 × 16918) / 2
LCM(16906,16918) = 286015708 / 2
LCM(16906,16918) = 143007854
Least Common Multiple (LCM) of 16906 and 16918 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 16906 and 16918. First we will calculate the prime factors of 16906 and 16918.
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 16918
Prime factors of 16918 are 2, 11, 769. Prime factorization of 16918 in exponential form is:
16918 = 21 × 111 × 7691
Now multiplying the highest exponent prime factors to calculate the LCM of 16906 and 16918.
LCM(16906,16918) = 21 × 791 × 1071 × 111 × 7691
LCM(16906,16918) = 143007854
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