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What is the Least Common Multiple of 25346 and 25360?

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 25360 is 321387280.

LCM(25346,25360) = 321387280

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Least Common Multiple of 25346 and 25360 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 25360, than apply into the LCM equation.

GCF(25346,25360) = 2
LCM(25346,25360) = ( 25346 × 25360) / 2
LCM(25346,25360) = 642774560 / 2
LCM(25346,25360) = 321387280

Least Common Multiple (LCM) of 25346 and 25360 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25346 and 25360. First we will calculate the prime factors of 25346 and 25360.

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 25360

Prime factors of 25360 are 2, 5, 317. Prime factorization of 25360 in exponential form is:

25360 = 24 × 51 × 3171

Now multiplying the highest exponent prime factors to calculate the LCM of 25346 and 25360.

LCM(25346,25360) = 24 × 191 × 231 × 291 × 51 × 3171
LCM(25346,25360) = 321387280