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What is the Least Common Multiple of 25690 and 25700?

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 25700 is 66023300.

LCM(25690,25700) = 66023300

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Least Common Multiple of 25690 and 25700 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 25700, than apply into the LCM equation.

GCF(25690,25700) = 10
LCM(25690,25700) = ( 25690 × 25700) / 10
LCM(25690,25700) = 660233000 / 10
LCM(25690,25700) = 66023300

Least Common Multiple (LCM) of 25690 and 25700 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25690 and 25700. First we will calculate the prime factors of 25690 and 25700.

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 25700

Prime factors of 25700 are 2, 5, 257. Prime factorization of 25700 in exponential form is:

25700 = 22 × 52 × 2571

Now multiplying the highest exponent prime factors to calculate the LCM of 25690 and 25700.

LCM(25690,25700) = 22 × 52 × 71 × 3671 × 2571
LCM(25690,25700) = 66023300