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What is the Least Common Multiple of 25330 and 25349?

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 25330 and 25349 is 642090170.

LCM(25330,25349) = 642090170

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Least Common Multiple of 25330 and 25349 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25330 and 25349, than apply into the LCM equation.

GCF(25330,25349) = 1
LCM(25330,25349) = ( 25330 × 25349) / 1
LCM(25330,25349) = 642090170 / 1
LCM(25330,25349) = 642090170

Least Common Multiple (LCM) of 25330 and 25349 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25330 and 25349. First we will calculate the prime factors of 25330 and 25349.

Prime Factorization of 25330

Prime factors of 25330 are 2, 5, 17, 149. Prime factorization of 25330 in exponential form is:

25330 = 21 × 51 × 171 × 1491

Prime Factorization of 25349

Prime factors of 25349 are 25349. Prime factorization of 25349 in exponential form is:

25349 = 253491

Now multiplying the highest exponent prime factors to calculate the LCM of 25330 and 25349.

LCM(25330,25349) = 21 × 51 × 171 × 1491 × 253491
LCM(25330,25349) = 642090170