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What is the Least Common Multiple of 25918 and 25929?

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 25918 and 25929 is 672027822.

LCM(25918,25929) = 672027822

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Least Common Multiple of 25918 and 25929 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25918 and 25929, than apply into the LCM equation.

GCF(25918,25929) = 1
LCM(25918,25929) = ( 25918 × 25929) / 1
LCM(25918,25929) = 672027822 / 1
LCM(25918,25929) = 672027822

Least Common Multiple (LCM) of 25918 and 25929 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25918 and 25929. First we will calculate the prime factors of 25918 and 25929.

Prime Factorization of 25918

Prime factors of 25918 are 2, 12959. Prime factorization of 25918 in exponential form is:

25918 = 21 × 129591

Prime Factorization of 25929

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

25929 = 32 × 431 × 671

Now multiplying the highest exponent prime factors to calculate the LCM of 25918 and 25929.

LCM(25918,25929) = 21 × 129591 × 32 × 431 × 671
LCM(25918,25929) = 672027822