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What is the Least Common Multiple of 25278 and 25296?

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 25278 and 25296 is 106572048.

LCM(25278,25296) = 106572048

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Least Common Multiple of 25278 and 25296 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25278 and 25296, than apply into the LCM equation.

GCF(25278,25296) = 6
LCM(25278,25296) = ( 25278 × 25296) / 6
LCM(25278,25296) = 639432288 / 6
LCM(25278,25296) = 106572048

Least Common Multiple (LCM) of 25278 and 25296 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25278 and 25296. First we will calculate the prime factors of 25278 and 25296.

Prime Factorization of 25278

Prime factors of 25278 are 2, 3, 11, 383. Prime factorization of 25278 in exponential form is:

25278 = 21 × 31 × 111 × 3831

Prime Factorization of 25296

Prime factors of 25296 are 2, 3, 17, 31. Prime factorization of 25296 in exponential form is:

25296 = 24 × 31 × 171 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 25278 and 25296.

LCM(25278,25296) = 24 × 31 × 111 × 3831 × 171 × 311
LCM(25278,25296) = 106572048