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What is the Least Common Multiple of 25811 and 25831?

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 25811 and 25831 is 666723941.

LCM(25811,25831) = 666723941

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Least Common Multiple of 25811 and 25831 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25811 and 25831, than apply into the LCM equation.

GCF(25811,25831) = 1
LCM(25811,25831) = ( 25811 × 25831) / 1
LCM(25811,25831) = 666723941 / 1
LCM(25811,25831) = 666723941

Least Common Multiple (LCM) of 25811 and 25831 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25811 and 25831. First we will calculate the prime factors of 25811 and 25831.

Prime Factorization of 25811

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

25811 = 531 × 4871

Prime Factorization of 25831

Prime factors of 25831 are 13, 1987. Prime factorization of 25831 in exponential form is:

25831 = 131 × 19871

Now multiplying the highest exponent prime factors to calculate the LCM of 25811 and 25831.

LCM(25811,25831) = 531 × 4871 × 131 × 19871
LCM(25811,25831) = 666723941