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What is the Least Common Multiple of 25082 and 25094?

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 25082 and 25094 is 314703854.

LCM(25082,25094) = 314703854

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Least Common Multiple of 25082 and 25094 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25082 and 25094, than apply into the LCM equation.

GCF(25082,25094) = 2
LCM(25082,25094) = ( 25082 × 25094) / 2
LCM(25082,25094) = 629407708 / 2
LCM(25082,25094) = 314703854

Least Common Multiple (LCM) of 25082 and 25094 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25082 and 25094. First we will calculate the prime factors of 25082 and 25094.

Prime Factorization of 25082

Prime factors of 25082 are 2, 12541. Prime factorization of 25082 in exponential form is:

25082 = 21 × 125411

Prime Factorization of 25094

Prime factors of 25094 are 2, 12547. Prime factorization of 25094 in exponential form is:

25094 = 21 × 125471

Now multiplying the highest exponent prime factors to calculate the LCM of 25082 and 25094.

LCM(25082,25094) = 21 × 125411 × 125471
LCM(25082,25094) = 314703854