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What is the Least Common Multiple of 25899 and 25914?

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 25899 and 25914 is 223715562.

LCM(25899,25914) = 223715562

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Least Common Multiple of 25899 and 25914 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25899 and 25914, than apply into the LCM equation.

GCF(25899,25914) = 3
LCM(25899,25914) = ( 25899 × 25914) / 3
LCM(25899,25914) = 671146686 / 3
LCM(25899,25914) = 223715562

Least Common Multiple (LCM) of 25899 and 25914 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25899 and 25914. First we will calculate the prime factors of 25899 and 25914.

Prime Factorization of 25899

Prime factors of 25899 are 3, 89, 97. Prime factorization of 25899 in exponential form is:

25899 = 31 × 891 × 971

Prime Factorization of 25914

Prime factors of 25914 are 2, 3, 7, 617. Prime factorization of 25914 in exponential form is:

25914 = 21 × 31 × 71 × 6171

Now multiplying the highest exponent prime factors to calculate the LCM of 25899 and 25914.

LCM(25899,25914) = 31 × 891 × 971 × 21 × 71 × 6171
LCM(25899,25914) = 223715562