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What is the Least Common Multiple of 25138 and 25144?

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 25138 and 25144 is 316034936.

LCM(25138,25144) = 316034936

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Least Common Multiple of 25138 and 25144 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25138 and 25144, than apply into the LCM equation.

GCF(25138,25144) = 2
LCM(25138,25144) = ( 25138 × 25144) / 2
LCM(25138,25144) = 632069872 / 2
LCM(25138,25144) = 316034936

Least Common Multiple (LCM) of 25138 and 25144 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25138 and 25144. First we will calculate the prime factors of 25138 and 25144.

Prime Factorization of 25138

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

25138 = 21 × 125691

Prime Factorization of 25144

Prime factors of 25144 are 2, 7, 449. Prime factorization of 25144 in exponential form is:

25144 = 23 × 71 × 4491

Now multiplying the highest exponent prime factors to calculate the LCM of 25138 and 25144.

LCM(25138,25144) = 23 × 125691 × 71 × 4491
LCM(25138,25144) = 316034936