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What is the Least Common Multiple of 25791 and 25808?

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 25791 and 25808 is 665614128.

LCM(25791,25808) = 665614128

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Least Common Multiple of 25791 and 25808 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25791 and 25808, than apply into the LCM equation.

GCF(25791,25808) = 1
LCM(25791,25808) = ( 25791 × 25808) / 1
LCM(25791,25808) = 665614128 / 1
LCM(25791,25808) = 665614128

Least Common Multiple (LCM) of 25791 and 25808 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25791 and 25808. First we will calculate the prime factors of 25791 and 25808.

Prime Factorization of 25791

Prime factors of 25791 are 3, 8597. Prime factorization of 25791 in exponential form is:

25791 = 31 × 85971

Prime Factorization of 25808

Prime factors of 25808 are 2, 1613. Prime factorization of 25808 in exponential form is:

25808 = 24 × 16131

Now multiplying the highest exponent prime factors to calculate the LCM of 25791 and 25808.

LCM(25791,25808) = 31 × 85971 × 24 × 16131
LCM(25791,25808) = 665614128