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What is the Least Common Multiple of 25276 and 25286?

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 25276 and 25286 is 319564468.

LCM(25276,25286) = 319564468

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Least Common Multiple of 25276 and 25286 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25276 and 25286, than apply into the LCM equation.

GCF(25276,25286) = 2
LCM(25276,25286) = ( 25276 × 25286) / 2
LCM(25276,25286) = 639128936 / 2
LCM(25276,25286) = 319564468

Least Common Multiple (LCM) of 25276 and 25286 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25276 and 25286. First we will calculate the prime factors of 25276 and 25286.

Prime Factorization of 25276

Prime factors of 25276 are 2, 71, 89. Prime factorization of 25276 in exponential form is:

25276 = 22 × 711 × 891

Prime Factorization of 25286

Prime factors of 25286 are 2, 47, 269. Prime factorization of 25286 in exponential form is:

25286 = 21 × 471 × 2691

Now multiplying the highest exponent prime factors to calculate the LCM of 25276 and 25286.

LCM(25276,25286) = 22 × 711 × 891 × 471 × 2691
LCM(25276,25286) = 319564468