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What is the Least Common Multiple of 25769 and 25789?

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 25769 and 25789 is 664556741.

LCM(25769,25789) = 664556741

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Least Common Multiple of 25769 and 25789 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25769 and 25789, than apply into the LCM equation.

GCF(25769,25789) = 1
LCM(25769,25789) = ( 25769 × 25789) / 1
LCM(25769,25789) = 664556741 / 1
LCM(25769,25789) = 664556741

Least Common Multiple (LCM) of 25769 and 25789 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25769 and 25789. First we will calculate the prime factors of 25769 and 25789.

Prime Factorization of 25769

Prime factors of 25769 are 73, 353. Prime factorization of 25769 in exponential form is:

25769 = 731 × 3531

Prime Factorization of 25789

Prime factors of 25789 are 17, 37, 41. Prime factorization of 25789 in exponential form is:

25789 = 171 × 371 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 25769 and 25789.

LCM(25769,25789) = 731 × 3531 × 171 × 371 × 411
LCM(25769,25789) = 664556741