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What is the Least Common Multiple of 25119 and 25138?

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 25119 and 25138 is 631441422.

LCM(25119,25138) = 631441422

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Least Common Multiple of 25119 and 25138 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25119 and 25138, than apply into the LCM equation.

GCF(25119,25138) = 1
LCM(25119,25138) = ( 25119 × 25138) / 1
LCM(25119,25138) = 631441422 / 1
LCM(25119,25138) = 631441422

Least Common Multiple (LCM) of 25119 and 25138 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25119 and 25138. First we will calculate the prime factors of 25119 and 25138.

Prime Factorization of 25119

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

25119 = 32 × 27911

Prime Factorization of 25138

Prime factors of 25138 are 2, 12569. Prime factorization of 25138 in exponential form is:

25138 = 21 × 125691

Now multiplying the highest exponent prime factors to calculate the LCM of 25119 and 25138.

LCM(25119,25138) = 32 × 27911 × 21 × 125691
LCM(25119,25138) = 631441422