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What is the Least Common Multiple of 25413 and 25433?

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 25413 and 25433 is 646328829.

LCM(25413,25433) = 646328829

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Least Common Multiple of 25413 and 25433 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25413 and 25433, than apply into the LCM equation.

GCF(25413,25433) = 1
LCM(25413,25433) = ( 25413 × 25433) / 1
LCM(25413,25433) = 646328829 / 1
LCM(25413,25433) = 646328829

Least Common Multiple (LCM) of 25413 and 25433 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25413 and 25433. First we will calculate the prime factors of 25413 and 25433.

Prime Factorization of 25413

Prime factors of 25413 are 3, 43, 197. Prime factorization of 25413 in exponential form is:

25413 = 31 × 431 × 1971

Prime Factorization of 25433

Prime factors of 25433 are 29, 877. Prime factorization of 25433 in exponential form is:

25433 = 291 × 8771

Now multiplying the highest exponent prime factors to calculate the LCM of 25413 and 25433.

LCM(25413,25433) = 31 × 431 × 1971 × 291 × 8771
LCM(25413,25433) = 646328829