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What is the Least Common Multiple of 25377 and 25389?

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 25377 and 25389 is 214765551.

LCM(25377,25389) = 214765551

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Least Common Multiple of 25377 and 25389 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25377 and 25389, than apply into the LCM equation.

GCF(25377,25389) = 3
LCM(25377,25389) = ( 25377 × 25389) / 3
LCM(25377,25389) = 644296653 / 3
LCM(25377,25389) = 214765551

Least Common Multiple (LCM) of 25377 and 25389 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25377 and 25389. First we will calculate the prime factors of 25377 and 25389.

Prime Factorization of 25377

Prime factors of 25377 are 3, 11, 769. Prime factorization of 25377 in exponential form is:

25377 = 31 × 111 × 7691

Prime Factorization of 25389

Prime factors of 25389 are 3, 7, 13, 31. Prime factorization of 25389 in exponential form is:

25389 = 32 × 71 × 131 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 25377 and 25389.

LCM(25377,25389) = 32 × 111 × 7691 × 71 × 131 × 311
LCM(25377,25389) = 214765551