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What is the Least Common Multiple of 25428 and 25442?

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 25428 and 25442 is 323469588.

LCM(25428,25442) = 323469588

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Least Common Multiple of 25428 and 25442 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25428 and 25442, than apply into the LCM equation.

GCF(25428,25442) = 2
LCM(25428,25442) = ( 25428 × 25442) / 2
LCM(25428,25442) = 646939176 / 2
LCM(25428,25442) = 323469588

Least Common Multiple (LCM) of 25428 and 25442 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25428 and 25442. First we will calculate the prime factors of 25428 and 25442.

Prime Factorization of 25428

Prime factors of 25428 are 2, 3, 13, 163. Prime factorization of 25428 in exponential form is:

25428 = 22 × 31 × 131 × 1631

Prime Factorization of 25442

Prime factors of 25442 are 2, 12721. Prime factorization of 25442 in exponential form is:

25442 = 21 × 127211

Now multiplying the highest exponent prime factors to calculate the LCM of 25428 and 25442.

LCM(25428,25442) = 22 × 31 × 131 × 1631 × 127211
LCM(25428,25442) = 323469588