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What is the Least Common Multiple of 25430 and 25447?

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 25430 and 25447 is 647117210.

LCM(25430,25447) = 647117210

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Least Common Multiple of 25430 and 25447 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25430 and 25447, than apply into the LCM equation.

GCF(25430,25447) = 1
LCM(25430,25447) = ( 25430 × 25447) / 1
LCM(25430,25447) = 647117210 / 1
LCM(25430,25447) = 647117210

Least Common Multiple (LCM) of 25430 and 25447 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25430 and 25447. First we will calculate the prime factors of 25430 and 25447.

Prime Factorization of 25430

Prime factors of 25430 are 2, 5, 2543. Prime factorization of 25430 in exponential form is:

25430 = 21 × 51 × 25431

Prime Factorization of 25447

Prime factors of 25447 are 25447. Prime factorization of 25447 in exponential form is:

25447 = 254471

Now multiplying the highest exponent prime factors to calculate the LCM of 25430 and 25447.

LCM(25430,25447) = 21 × 51 × 25431 × 254471
LCM(25430,25447) = 647117210