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What is the Least Common Multiple of 25463 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 25463 and 25482 is 648848166.

LCM(25463,25482) = 648848166

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Least Common Multiple of 25463 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 25463 and 25482, than apply into the LCM equation.

GCF(25463,25482) = 1
LCM(25463,25482) = ( 25463 × 25482) / 1
LCM(25463,25482) = 648848166 / 1
LCM(25463,25482) = 648848166

Least Common Multiple (LCM) of 25463 and 25482 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25463 and 25482. First we will calculate the prime factors of 25463 and 25482.

Prime Factorization of 25463

Prime factors of 25463 are 25463. Prime factorization of 25463 in exponential form is:

25463 = 254631

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 25463 and 25482.

LCM(25463,25482) = 254631 × 21 × 31 × 311 × 1371
LCM(25463,25482) = 648848166