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What is the Least Common Multiple of 25691 and 25704?

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 25691 and 25704 is 660361464.

LCM(25691,25704) = 660361464

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Least Common Multiple of 25691 and 25704 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25691 and 25704, than apply into the LCM equation.

GCF(25691,25704) = 1
LCM(25691,25704) = ( 25691 × 25704) / 1
LCM(25691,25704) = 660361464 / 1
LCM(25691,25704) = 660361464

Least Common Multiple (LCM) of 25691 and 25704 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25691 and 25704. First we will calculate the prime factors of 25691 and 25704.

Prime Factorization of 25691

Prime factors of 25691 are 23, 1117. Prime factorization of 25691 in exponential form is:

25691 = 231 × 11171

Prime Factorization of 25704

Prime factors of 25704 are 2, 3, 7, 17. Prime factorization of 25704 in exponential form is:

25704 = 23 × 33 × 71 × 171

Now multiplying the highest exponent prime factors to calculate the LCM of 25691 and 25704.

LCM(25691,25704) = 231 × 11171 × 23 × 33 × 71 × 171
LCM(25691,25704) = 660361464