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What is the Least Common Multiple of 27897 and 27914?

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 27897 and 27914 is 45806874.

LCM(27897,27914) = 45806874

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Least Common Multiple of 27897 and 27914 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27897 and 27914, than apply into the LCM equation.

GCF(27897,27914) = 17
LCM(27897,27914) = ( 27897 × 27914) / 17
LCM(27897,27914) = 778716858 / 17
LCM(27897,27914) = 45806874

Least Common Multiple (LCM) of 27897 and 27914 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27897 and 27914. First we will calculate the prime factors of 27897 and 27914.

Prime Factorization of 27897

Prime factors of 27897 are 3, 17, 547. Prime factorization of 27897 in exponential form is:

27897 = 31 × 171 × 5471

Prime Factorization of 27914

Prime factors of 27914 are 2, 17, 821. Prime factorization of 27914 in exponential form is:

27914 = 21 × 171 × 8211

Now multiplying the highest exponent prime factors to calculate the LCM of 27897 and 27914.

LCM(27897,27914) = 31 × 171 × 5471 × 21 × 8211
LCM(27897,27914) = 45806874