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What is the Least Common Multiple of 25347 and 25361?

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 25347 and 25361 is 91832181.

LCM(25347,25361) = 91832181

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Least Common Multiple of 25347 and 25361 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25347 and 25361, than apply into the LCM equation.

GCF(25347,25361) = 7
LCM(25347,25361) = ( 25347 × 25361) / 7
LCM(25347,25361) = 642825267 / 7
LCM(25347,25361) = 91832181

Least Common Multiple (LCM) of 25347 and 25361 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25347 and 25361. First we will calculate the prime factors of 25347 and 25361.

Prime Factorization of 25347

Prime factors of 25347 are 3, 7, 17, 71. Prime factorization of 25347 in exponential form is:

25347 = 31 × 71 × 171 × 711

Prime Factorization of 25361

Prime factors of 25361 are 7, 3623. Prime factorization of 25361 in exponential form is:

25361 = 71 × 36231

Now multiplying the highest exponent prime factors to calculate the LCM of 25347 and 25361.

LCM(25347,25361) = 31 × 71 × 171 × 711 × 36231
LCM(25347,25361) = 91832181