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What is the Least Common Multiple of 25925 and 25936?

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 25936 is 672390800.

LCM(25925,25936) = 672390800

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Least Common Multiple of 25925 and 25936 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 25936, than apply into the LCM equation.

GCF(25925,25936) = 1
LCM(25925,25936) = ( 25925 × 25936) / 1
LCM(25925,25936) = 672390800 / 1
LCM(25925,25936) = 672390800

Least Common Multiple (LCM) of 25925 and 25936 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25925 and 25936. First we will calculate the prime factors of 25925 and 25936.

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 25936

Prime factors of 25936 are 2, 1621. Prime factorization of 25936 in exponential form is:

25936 = 24 × 16211

Now multiplying the highest exponent prime factors to calculate the LCM of 25925 and 25936.

LCM(25925,25936) = 52 × 171 × 611 × 24 × 16211
LCM(25925,25936) = 672390800