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What is the Least Common Multiple of 25428 and 25440?

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 25440 is 53907360.

LCM(25428,25440) = 53907360

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Least Common Multiple of 25428 and 25440 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 25440, than apply into the LCM equation.

GCF(25428,25440) = 12
LCM(25428,25440) = ( 25428 × 25440) / 12
LCM(25428,25440) = 646888320 / 12
LCM(25428,25440) = 53907360

Least Common Multiple (LCM) of 25428 and 25440 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25428 and 25440. First we will calculate the prime factors of 25428 and 25440.

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 25440

Prime factors of 25440 are 2, 3, 5, 53. Prime factorization of 25440 in exponential form is:

25440 = 25 × 31 × 51 × 531

Now multiplying the highest exponent prime factors to calculate the LCM of 25428 and 25440.

LCM(25428,25440) = 25 × 31 × 131 × 1631 × 51 × 531
LCM(25428,25440) = 53907360