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What is the Least Common Multiple of 25884 and 25896?

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 25884 and 25896 is 55857672.

LCM(25884,25896) = 55857672

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Least Common Multiple of 25884 and 25896 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25884 and 25896, than apply into the LCM equation.

GCF(25884,25896) = 12
LCM(25884,25896) = ( 25884 × 25896) / 12
LCM(25884,25896) = 670292064 / 12
LCM(25884,25896) = 55857672

Least Common Multiple (LCM) of 25884 and 25896 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25884 and 25896. First we will calculate the prime factors of 25884 and 25896.

Prime Factorization of 25884

Prime factors of 25884 are 2, 3, 719. Prime factorization of 25884 in exponential form is:

25884 = 22 × 32 × 7191

Prime Factorization of 25896

Prime factors of 25896 are 2, 3, 13, 83. Prime factorization of 25896 in exponential form is:

25896 = 23 × 31 × 131 × 831

Now multiplying the highest exponent prime factors to calculate the LCM of 25884 and 25896.

LCM(25884,25896) = 23 × 32 × 7191 × 131 × 831
LCM(25884,25896) = 55857672