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What is the Least Common Multiple of 25668 and 25677?

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 25668 and 25677 is 73230804.

LCM(25668,25677) = 73230804

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Least Common Multiple of 25668 and 25677 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25668 and 25677, than apply into the LCM equation.

GCF(25668,25677) = 9
LCM(25668,25677) = ( 25668 × 25677) / 9
LCM(25668,25677) = 659077236 / 9
LCM(25668,25677) = 73230804

Least Common Multiple (LCM) of 25668 and 25677 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25668 and 25677. First we will calculate the prime factors of 25668 and 25677.

Prime Factorization of 25668

Prime factors of 25668 are 2, 3, 23, 31. Prime factorization of 25668 in exponential form is:

25668 = 22 × 32 × 231 × 311

Prime Factorization of 25677

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

25677 = 34 × 3171

Now multiplying the highest exponent prime factors to calculate the LCM of 25668 and 25677.

LCM(25668,25677) = 22 × 34 × 231 × 311 × 3171
LCM(25668,25677) = 73230804