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What is the Least Common Multiple of 25655 and 25664?

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 25655 and 25664 is 658409920.

LCM(25655,25664) = 658409920

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Least Common Multiple of 25655 and 25664 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25655 and 25664, than apply into the LCM equation.

GCF(25655,25664) = 1
LCM(25655,25664) = ( 25655 × 25664) / 1
LCM(25655,25664) = 658409920 / 1
LCM(25655,25664) = 658409920

Least Common Multiple (LCM) of 25655 and 25664 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25655 and 25664. First we will calculate the prime factors of 25655 and 25664.

Prime Factorization of 25655

Prime factors of 25655 are 5, 7, 733. Prime factorization of 25655 in exponential form is:

25655 = 51 × 71 × 7331

Prime Factorization of 25664

Prime factors of 25664 are 2, 401. Prime factorization of 25664 in exponential form is:

25664 = 26 × 4011

Now multiplying the highest exponent prime factors to calculate the LCM of 25655 and 25664.

LCM(25655,25664) = 51 × 71 × 7331 × 26 × 4011
LCM(25655,25664) = 658409920