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What is the Least Common Multiple of 25346 and 25363?

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 25346 and 25363 is 642850598.

LCM(25346,25363) = 642850598

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Least Common Multiple of 25346 and 25363 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25346 and 25363, than apply into the LCM equation.

GCF(25346,25363) = 1
LCM(25346,25363) = ( 25346 × 25363) / 1
LCM(25346,25363) = 642850598 / 1
LCM(25346,25363) = 642850598

Least Common Multiple (LCM) of 25346 and 25363 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25346 and 25363. First we will calculate the prime factors of 25346 and 25363.

Prime Factorization of 25346

Prime factors of 25346 are 2, 19, 23, 29. Prime factorization of 25346 in exponential form is:

25346 = 21 × 191 × 231 × 291

Prime Factorization of 25363

Prime factors of 25363 are 13, 1951. Prime factorization of 25363 in exponential form is:

25363 = 131 × 19511

Now multiplying the highest exponent prime factors to calculate the LCM of 25346 and 25363.

LCM(25346,25363) = 21 × 191 × 231 × 291 × 131 × 19511
LCM(25346,25363) = 642850598