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What is the Least Common Multiple of 25129 and 25146?

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 25129 and 25146 is 631893834.

LCM(25129,25146) = 631893834

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Least Common Multiple of 25129 and 25146 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25129 and 25146, than apply into the LCM equation.

GCF(25129,25146) = 1
LCM(25129,25146) = ( 25129 × 25146) / 1
LCM(25129,25146) = 631893834 / 1
LCM(25129,25146) = 631893834

Least Common Multiple (LCM) of 25129 and 25146 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25129 and 25146. First we will calculate the prime factors of 25129 and 25146.

Prime Factorization of 25129

Prime factors of 25129 are 13, 1933. Prime factorization of 25129 in exponential form is:

25129 = 131 × 19331

Prime Factorization of 25146

Prime factors of 25146 are 2, 3, 11, 127. Prime factorization of 25146 in exponential form is:

25146 = 21 × 32 × 111 × 1271

Now multiplying the highest exponent prime factors to calculate the LCM of 25129 and 25146.

LCM(25129,25146) = 131 × 19331 × 21 × 32 × 111 × 1271
LCM(25129,25146) = 631893834