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What is the Least Common Multiple of 25394 and 25410?

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 25394 and 25410 is 322630770.

LCM(25394,25410) = 322630770

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Least Common Multiple of 25394 and 25410 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25394 and 25410, than apply into the LCM equation.

GCF(25394,25410) = 2
LCM(25394,25410) = ( 25394 × 25410) / 2
LCM(25394,25410) = 645261540 / 2
LCM(25394,25410) = 322630770

Least Common Multiple (LCM) of 25394 and 25410 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25394 and 25410. First we will calculate the prime factors of 25394 and 25410.

Prime Factorization of 25394

Prime factors of 25394 are 2, 12697. Prime factorization of 25394 in exponential form is:

25394 = 21 × 126971

Prime Factorization of 25410

Prime factors of 25410 are 2, 3, 5, 7, 11. Prime factorization of 25410 in exponential form is:

25410 = 21 × 31 × 51 × 71 × 112

Now multiplying the highest exponent prime factors to calculate the LCM of 25394 and 25410.

LCM(25394,25410) = 21 × 126971 × 31 × 51 × 71 × 112
LCM(25394,25410) = 322630770