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What is the Least Common Multiple of 25373 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 25373 and 25389 is 644195097.

LCM(25373,25389) = 644195097

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Least Common Multiple of 25373 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 25373 and 25389, than apply into the LCM equation.

GCF(25373,25389) = 1
LCM(25373,25389) = ( 25373 × 25389) / 1
LCM(25373,25389) = 644195097 / 1
LCM(25373,25389) = 644195097

Least Common Multiple (LCM) of 25373 and 25389 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25373 and 25389. First we will calculate the prime factors of 25373 and 25389.

Prime Factorization of 25373

Prime factors of 25373 are 25373. Prime factorization of 25373 in exponential form is:

25373 = 253731

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 25373 and 25389.

LCM(25373,25389) = 253731 × 32 × 71 × 131 × 311
LCM(25373,25389) = 644195097