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What is the Least Common Multiple of 25690 and 25696?

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 25690 and 25696 is 330065120.

LCM(25690,25696) = 330065120

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Least Common Multiple of 25690 and 25696 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25690 and 25696, than apply into the LCM equation.

GCF(25690,25696) = 2
LCM(25690,25696) = ( 25690 × 25696) / 2
LCM(25690,25696) = 660130240 / 2
LCM(25690,25696) = 330065120

Least Common Multiple (LCM) of 25690 and 25696 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25690 and 25696. First we will calculate the prime factors of 25690 and 25696.

Prime Factorization of 25690

Prime factors of 25690 are 2, 5, 7, 367. Prime factorization of 25690 in exponential form is:

25690 = 21 × 51 × 71 × 3671

Prime Factorization of 25696

Prime factors of 25696 are 2, 11, 73. Prime factorization of 25696 in exponential form is:

25696 = 25 × 111 × 731

Now multiplying the highest exponent prime factors to calculate the LCM of 25690 and 25696.

LCM(25690,25696) = 25 × 51 × 71 × 3671 × 111 × 731
LCM(25690,25696) = 330065120