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What is the Least Common Multiple of 18906 and 18914?

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 18906 and 18914 is 178794042.

LCM(18906,18914) = 178794042

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Least Common Multiple of 18906 and 18914 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18906 and 18914, than apply into the LCM equation.

GCF(18906,18914) = 2
LCM(18906,18914) = ( 18906 × 18914) / 2
LCM(18906,18914) = 357588084 / 2
LCM(18906,18914) = 178794042

Least Common Multiple (LCM) of 18906 and 18914 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18906 and 18914. First we will calculate the prime factors of 18906 and 18914.

Prime Factorization of 18906

Prime factors of 18906 are 2, 3, 23, 137. Prime factorization of 18906 in exponential form is:

18906 = 21 × 31 × 231 × 1371

Prime Factorization of 18914

Prime factors of 18914 are 2, 7, 193. Prime factorization of 18914 in exponential form is:

18914 = 21 × 72 × 1931

Now multiplying the highest exponent prime factors to calculate the LCM of 18906 and 18914.

LCM(18906,18914) = 21 × 31 × 231 × 1371 × 72 × 1931
LCM(18906,18914) = 178794042