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What is the Least Common Multiple of 25809 and 25829?

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 25809 and 25829 is 666620661.

LCM(25809,25829) = 666620661

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Least Common Multiple of 25809 and 25829 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25809 and 25829, than apply into the LCM equation.

GCF(25809,25829) = 1
LCM(25809,25829) = ( 25809 × 25829) / 1
LCM(25809,25829) = 666620661 / 1
LCM(25809,25829) = 666620661

Least Common Multiple (LCM) of 25809 and 25829 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25809 and 25829. First we will calculate the prime factors of 25809 and 25829.

Prime Factorization of 25809

Prime factors of 25809 are 3, 7, 1229. Prime factorization of 25809 in exponential form is:

25809 = 31 × 71 × 12291

Prime Factorization of 25829

Prime factors of 25829 are 23, 1123. Prime factorization of 25829 in exponential form is:

25829 = 231 × 11231

Now multiplying the highest exponent prime factors to calculate the LCM of 25809 and 25829.

LCM(25809,25829) = 31 × 71 × 12291 × 231 × 11231
LCM(25809,25829) = 666620661