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What is the Least Common Multiple of 25925 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 25925 and 25929 is 672209325.

LCM(25925,25929) = 672209325

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Least Common Multiple of 25925 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 25925 and 25929, than apply into the LCM equation.

GCF(25925,25929) = 1
LCM(25925,25929) = ( 25925 × 25929) / 1
LCM(25925,25929) = 672209325 / 1
LCM(25925,25929) = 672209325

Least Common Multiple (LCM) of 25925 and 25929 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25925 and 25929. First we will calculate the prime factors of 25925 and 25929.

Prime Factorization of 25925

Prime factors of 25925 are 5, 17, 61. Prime factorization of 25925 in exponential form is:

25925 = 52 × 171 × 611

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 25925 and 25929.

LCM(25925,25929) = 52 × 171 × 611 × 32 × 431 × 671
LCM(25925,25929) = 672209325