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What is the Least Common Multiple of 25822 and 25842?

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 25822 and 25842 is 333646062.

LCM(25822,25842) = 333646062

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Least Common Multiple of 25822 and 25842 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25822 and 25842, than apply into the LCM equation.

GCF(25822,25842) = 2
LCM(25822,25842) = ( 25822 × 25842) / 2
LCM(25822,25842) = 667292124 / 2
LCM(25822,25842) = 333646062

Least Common Multiple (LCM) of 25822 and 25842 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25822 and 25842. First we will calculate the prime factors of 25822 and 25842.

Prime Factorization of 25822

Prime factors of 25822 are 2, 12911. Prime factorization of 25822 in exponential form is:

25822 = 21 × 129111

Prime Factorization of 25842

Prime factors of 25842 are 2, 3, 59, 73. Prime factorization of 25842 in exponential form is:

25842 = 21 × 31 × 591 × 731

Now multiplying the highest exponent prime factors to calculate the LCM of 25822 and 25842.

LCM(25822,25842) = 21 × 129111 × 31 × 591 × 731
LCM(25822,25842) = 333646062