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What is the Least Common Multiple of 25764 and 25771?

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 25764 and 25771 is 663964044.

LCM(25764,25771) = 663964044

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Least Common Multiple of 25764 and 25771 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25764 and 25771, than apply into the LCM equation.

GCF(25764,25771) = 1
LCM(25764,25771) = ( 25764 × 25771) / 1
LCM(25764,25771) = 663964044 / 1
LCM(25764,25771) = 663964044

Least Common Multiple (LCM) of 25764 and 25771 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25764 and 25771. First we will calculate the prime factors of 25764 and 25771.

Prime Factorization of 25764

Prime factors of 25764 are 2, 3, 19, 113. Prime factorization of 25764 in exponential form is:

25764 = 22 × 31 × 191 × 1131

Prime Factorization of 25771

Prime factors of 25771 are 25771. Prime factorization of 25771 in exponential form is:

25771 = 257711

Now multiplying the highest exponent prime factors to calculate the LCM of 25764 and 25771.

LCM(25764,25771) = 22 × 31 × 191 × 1131 × 257711
LCM(25764,25771) = 663964044