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What is the Least Common Multiple of 25114 and 25119?

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 25114 and 25119 is 630838566.

LCM(25114,25119) = 630838566

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Least Common Multiple of 25114 and 25119 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25114 and 25119, than apply into the LCM equation.

GCF(25114,25119) = 1
LCM(25114,25119) = ( 25114 × 25119) / 1
LCM(25114,25119) = 630838566 / 1
LCM(25114,25119) = 630838566

Least Common Multiple (LCM) of 25114 and 25119 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25114 and 25119. First we will calculate the prime factors of 25114 and 25119.

Prime Factorization of 25114

Prime factors of 25114 are 2, 29, 433. Prime factorization of 25114 in exponential form is:

25114 = 21 × 291 × 4331

Prime Factorization of 25119

Prime factors of 25119 are 3, 2791. Prime factorization of 25119 in exponential form is:

25119 = 32 × 27911

Now multiplying the highest exponent prime factors to calculate the LCM of 25114 and 25119.

LCM(25114,25119) = 21 × 291 × 4331 × 32 × 27911
LCM(25114,25119) = 630838566