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What is the Least Common Multiple of 25929 and 25945?

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 25929 and 25945 is 672727905.

LCM(25929,25945) = 672727905

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Least Common Multiple of 25929 and 25945 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25929 and 25945, than apply into the LCM equation.

GCF(25929,25945) = 1
LCM(25929,25945) = ( 25929 × 25945) / 1
LCM(25929,25945) = 672727905 / 1
LCM(25929,25945) = 672727905

Least Common Multiple (LCM) of 25929 and 25945 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25929 and 25945. First we will calculate the prime factors of 25929 and 25945.

Prime Factorization of 25929

Prime factors of 25929 are 3, 43, 67. Prime factorization of 25929 in exponential form is:

25929 = 32 × 431 × 671

Prime Factorization of 25945

Prime factors of 25945 are 5, 5189. Prime factorization of 25945 in exponential form is:

25945 = 51 × 51891

Now multiplying the highest exponent prime factors to calculate the LCM of 25929 and 25945.

LCM(25929,25945) = 32 × 431 × 671 × 51 × 51891
LCM(25929,25945) = 672727905