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What is the Least Common Multiple of 25677 and 25694?

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 25677 and 25694 is 659744838.

LCM(25677,25694) = 659744838

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Least Common Multiple of 25677 and 25694 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25677 and 25694, than apply into the LCM equation.

GCF(25677,25694) = 1
LCM(25677,25694) = ( 25677 × 25694) / 1
LCM(25677,25694) = 659744838 / 1
LCM(25677,25694) = 659744838

Least Common Multiple (LCM) of 25677 and 25694 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25677 and 25694. First we will calculate the prime factors of 25677 and 25694.

Prime Factorization of 25677

Prime factors of 25677 are 3, 317. Prime factorization of 25677 in exponential form is:

25677 = 34 × 3171

Prime Factorization of 25694

Prime factors of 25694 are 2, 29, 443. Prime factorization of 25694 in exponential form is:

25694 = 21 × 291 × 4431

Now multiplying the highest exponent prime factors to calculate the LCM of 25677 and 25694.

LCM(25677,25694) = 34 × 3171 × 21 × 291 × 4431
LCM(25677,25694) = 659744838