What is the Least Common Multiple of 16906 and 16925?
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 16925 is 286134050.
LCM(16906,16925) = 286134050
Least Common Multiple of 16906 and 16925 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 16925, than apply into the LCM equation.
GCF(16906,16925) = 1
LCM(16906,16925) = ( 16906 × 16925) / 1
LCM(16906,16925) = 286134050 / 1
LCM(16906,16925) = 286134050
Least Common Multiple (LCM) of 16906 and 16925 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 16906 and 16925. First we will calculate the prime factors of 16906 and 16925.
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 16925
Prime factors of 16925 are 5, 677. Prime factorization of 16925 in exponential form is:
16925 = 52 × 6771
Now multiplying the highest exponent prime factors to calculate the LCM of 16906 and 16925.
LCM(16906,16925) = 21 × 791 × 1071 × 52 × 6771
LCM(16906,16925) = 286134050
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