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What is the Least Common Multiple of 25471 and 25482?

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 25471 and 25482 is 649052022.

LCM(25471,25482) = 649052022

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Least Common Multiple of 25471 and 25482 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25471 and 25482, than apply into the LCM equation.

GCF(25471,25482) = 1
LCM(25471,25482) = ( 25471 × 25482) / 1
LCM(25471,25482) = 649052022 / 1
LCM(25471,25482) = 649052022

Least Common Multiple (LCM) of 25471 and 25482 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25471 and 25482. First we will calculate the prime factors of 25471 and 25482.

Prime Factorization of 25471

Prime factors of 25471 are 25471. Prime factorization of 25471 in exponential form is:

25471 = 254711

Prime Factorization of 25482

Prime factors of 25482 are 2, 3, 31, 137. Prime factorization of 25482 in exponential form is:

25482 = 21 × 31 × 311 × 1371

Now multiplying the highest exponent prime factors to calculate the LCM of 25471 and 25482.

LCM(25471,25482) = 254711 × 21 × 31 × 311 × 1371
LCM(25471,25482) = 649052022