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What is the Least Common Multiple of 25078 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 25078 and 25094 is 314653666.

LCM(25078,25094) = 314653666

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Least Common Multiple of 25078 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 25078 and 25094, than apply into the LCM equation.

GCF(25078,25094) = 2
LCM(25078,25094) = ( 25078 × 25094) / 2
LCM(25078,25094) = 629307332 / 2
LCM(25078,25094) = 314653666

Least Common Multiple (LCM) of 25078 and 25094 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25078 and 25094. First we will calculate the prime factors of 25078 and 25094.

Prime Factorization of 25078

Prime factors of 25078 are 2, 12539. Prime factorization of 25078 in exponential form is:

25078 = 21 × 125391

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 25078 and 25094.

LCM(25078,25094) = 21 × 125391 × 125471
LCM(25078,25094) = 314653666