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What is the Least Common Multiple of 25772 and 25779?

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 25772 and 25779 is 664376388.

LCM(25772,25779) = 664376388

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Least Common Multiple of 25772 and 25779 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25772 and 25779, than apply into the LCM equation.

GCF(25772,25779) = 1
LCM(25772,25779) = ( 25772 × 25779) / 1
LCM(25772,25779) = 664376388 / 1
LCM(25772,25779) = 664376388

Least Common Multiple (LCM) of 25772 and 25779 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25772 and 25779. First we will calculate the prime factors of 25772 and 25779.

Prime Factorization of 25772

Prime factors of 25772 are 2, 17, 379. Prime factorization of 25772 in exponential form is:

25772 = 22 × 171 × 3791

Prime Factorization of 25779

Prime factors of 25779 are 3, 13, 661. Prime factorization of 25779 in exponential form is:

25779 = 31 × 131 × 6611

Now multiplying the highest exponent prime factors to calculate the LCM of 25772 and 25779.

LCM(25772,25779) = 22 × 171 × 3791 × 31 × 131 × 6611
LCM(25772,25779) = 664376388