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What is the Least Common Multiple of 5910 and 5914?

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 5910 and 5914 is 17475870.

LCM(5910,5914) = 17475870

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Least Common Multiple of 5910 and 5914 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5910 and 5914, than apply into the LCM equation.

GCF(5910,5914) = 2
LCM(5910,5914) = ( 5910 × 5914) / 2
LCM(5910,5914) = 34951740 / 2
LCM(5910,5914) = 17475870

Least Common Multiple (LCM) of 5910 and 5914 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5910 and 5914. First we will calculate the prime factors of 5910 and 5914.

Prime Factorization of 5910

Prime factors of 5910 are 2, 3, 5, 197. Prime factorization of 5910 in exponential form is:

5910 = 21 × 31 × 51 × 1971

Prime Factorization of 5914

Prime factors of 5914 are 2, 2957. Prime factorization of 5914 in exponential form is:

5914 = 21 × 29571

Now multiplying the highest exponent prime factors to calculate the LCM of 5910 and 5914.

LCM(5910,5914) = 21 × 31 × 51 × 1971 × 29571
LCM(5910,5914) = 17475870