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What is the Least Common Multiple of 25779 and 25785?

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 25779 and 25785 is 221570505.

LCM(25779,25785) = 221570505

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Least Common Multiple of 25779 and 25785 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25779 and 25785, than apply into the LCM equation.

GCF(25779,25785) = 3
LCM(25779,25785) = ( 25779 × 25785) / 3
LCM(25779,25785) = 664711515 / 3
LCM(25779,25785) = 221570505

Least Common Multiple (LCM) of 25779 and 25785 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25779 and 25785. First we will calculate the prime factors of 25779 and 25785.

Prime Factorization of 25779

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

25779 = 31 × 131 × 6611

Prime Factorization of 25785

Prime factors of 25785 are 3, 5, 191. Prime factorization of 25785 in exponential form is:

25785 = 33 × 51 × 1911

Now multiplying the highest exponent prime factors to calculate the LCM of 25779 and 25785.

LCM(25779,25785) = 33 × 131 × 6611 × 51 × 1911
LCM(25779,25785) = 221570505