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What is the Least Common Multiple of 25273 and 25291?

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 25273 and 25291 is 639179443.

LCM(25273,25291) = 639179443

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Least Common Multiple of 25273 and 25291 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25273 and 25291, than apply into the LCM equation.

GCF(25273,25291) = 1
LCM(25273,25291) = ( 25273 × 25291) / 1
LCM(25273,25291) = 639179443 / 1
LCM(25273,25291) = 639179443

Least Common Multiple (LCM) of 25273 and 25291 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25273 and 25291. First we will calculate the prime factors of 25273 and 25291.

Prime Factorization of 25273

Prime factors of 25273 are 127, 199. Prime factorization of 25273 in exponential form is:

25273 = 1271 × 1991

Prime Factorization of 25291

Prime factors of 25291 are 7, 3613. Prime factorization of 25291 in exponential form is:

25291 = 71 × 36131

Now multiplying the highest exponent prime factors to calculate the LCM of 25273 and 25291.

LCM(25273,25291) = 1271 × 1991 × 71 × 36131
LCM(25273,25291) = 639179443