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What is the Least Common Multiple of 25353 and 25367?

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 25353 and 25367 is 643129551.

LCM(25353,25367) = 643129551

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Least Common Multiple of 25353 and 25367 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25353 and 25367, than apply into the LCM equation.

GCF(25353,25367) = 1
LCM(25353,25367) = ( 25353 × 25367) / 1
LCM(25353,25367) = 643129551 / 1
LCM(25353,25367) = 643129551

Least Common Multiple (LCM) of 25353 and 25367 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25353 and 25367. First we will calculate the prime factors of 25353 and 25367.

Prime Factorization of 25353

Prime factors of 25353 are 3, 313. Prime factorization of 25353 in exponential form is:

25353 = 34 × 3131

Prime Factorization of 25367

Prime factors of 25367 are 25367. Prime factorization of 25367 in exponential form is:

25367 = 253671

Now multiplying the highest exponent prime factors to calculate the LCM of 25353 and 25367.

LCM(25353,25367) = 34 × 3131 × 253671
LCM(25353,25367) = 643129551