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What is the Least Common Multiple of 25342 and 25346?

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 25342 and 25346 is 321159166.

LCM(25342,25346) = 321159166

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Least Common Multiple of 25342 and 25346 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25342 and 25346, than apply into the LCM equation.

GCF(25342,25346) = 2
LCM(25342,25346) = ( 25342 × 25346) / 2
LCM(25342,25346) = 642318332 / 2
LCM(25342,25346) = 321159166

Least Common Multiple (LCM) of 25342 and 25346 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25342 and 25346. First we will calculate the prime factors of 25342 and 25346.

Prime Factorization of 25342

Prime factors of 25342 are 2, 12671. Prime factorization of 25342 in exponential form is:

25342 = 21 × 126711

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

Now multiplying the highest exponent prime factors to calculate the LCM of 25342 and 25346.

LCM(25342,25346) = 21 × 126711 × 191 × 231 × 291
LCM(25342,25346) = 321159166