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What is the Least Common Multiple of 25112 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 25112 and 25119 is 630788328.

LCM(25112,25119) = 630788328

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Least Common Multiple of 25112 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 25112 and 25119, than apply into the LCM equation.

GCF(25112,25119) = 1
LCM(25112,25119) = ( 25112 × 25119) / 1
LCM(25112,25119) = 630788328 / 1
LCM(25112,25119) = 630788328

Least Common Multiple (LCM) of 25112 and 25119 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25112 and 25119. First we will calculate the prime factors of 25112 and 25119.

Prime Factorization of 25112

Prime factors of 25112 are 2, 43, 73. Prime factorization of 25112 in exponential form is:

25112 = 23 × 431 × 731

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 25112 and 25119.

LCM(25112,25119) = 23 × 431 × 731 × 32 × 27911
LCM(25112,25119) = 630788328