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What is the Least Common Multiple of 25806 and 25811?

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 25806 and 25811 is 666078666.

LCM(25806,25811) = 666078666

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Least Common Multiple of 25806 and 25811 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25806 and 25811, than apply into the LCM equation.

GCF(25806,25811) = 1
LCM(25806,25811) = ( 25806 × 25811) / 1
LCM(25806,25811) = 666078666 / 1
LCM(25806,25811) = 666078666

Least Common Multiple (LCM) of 25806 and 25811 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25806 and 25811. First we will calculate the prime factors of 25806 and 25811.

Prime Factorization of 25806

Prime factors of 25806 are 2, 3, 11, 17, 23. Prime factorization of 25806 in exponential form is:

25806 = 21 × 31 × 111 × 171 × 231

Prime Factorization of 25811

Prime factors of 25811 are 53, 487. Prime factorization of 25811 in exponential form is:

25811 = 531 × 4871

Now multiplying the highest exponent prime factors to calculate the LCM of 25806 and 25811.

LCM(25806,25811) = 21 × 31 × 111 × 171 × 231 × 531 × 4871
LCM(25806,25811) = 666078666