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What is the Least Common Multiple of 3906 and 3914?

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 3906 and 3914 is 7644042.

LCM(3906,3914) = 7644042

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Least Common Multiple of 3906 and 3914 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3906 and 3914, than apply into the LCM equation.

GCF(3906,3914) = 2
LCM(3906,3914) = ( 3906 × 3914) / 2
LCM(3906,3914) = 15288084 / 2
LCM(3906,3914) = 7644042

Least Common Multiple (LCM) of 3906 and 3914 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3906 and 3914. First we will calculate the prime factors of 3906 and 3914.

Prime Factorization of 3906

Prime factors of 3906 are 2, 3, 7, 31. Prime factorization of 3906 in exponential form is:

3906 = 21 × 32 × 71 × 311

Prime Factorization of 3914

Prime factors of 3914 are 2, 19, 103. Prime factorization of 3914 in exponential form is:

3914 = 21 × 191 × 1031

Now multiplying the highest exponent prime factors to calculate the LCM of 3906 and 3914.

LCM(3906,3914) = 21 × 32 × 71 × 311 × 191 × 1031
LCM(3906,3914) = 7644042