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What is the Least Common Multiple of 25808 and 25824?

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 25808 and 25824 is 41654112.

LCM(25808,25824) = 41654112

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Least Common Multiple of 25808 and 25824 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25808 and 25824, than apply into the LCM equation.

GCF(25808,25824) = 16
LCM(25808,25824) = ( 25808 × 25824) / 16
LCM(25808,25824) = 666465792 / 16
LCM(25808,25824) = 41654112

Least Common Multiple (LCM) of 25808 and 25824 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25808 and 25824. First we will calculate the prime factors of 25808 and 25824.

Prime Factorization of 25808

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

25808 = 24 × 16131

Prime Factorization of 25824

Prime factors of 25824 are 2, 3, 269. Prime factorization of 25824 in exponential form is:

25824 = 25 × 31 × 2691

Now multiplying the highest exponent prime factors to calculate the LCM of 25808 and 25824.

LCM(25808,25824) = 25 × 16131 × 31 × 2691
LCM(25808,25824) = 41654112