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What is the Least Common Multiple of 25819 and 25830?

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 25819 and 25830 is 666904770.

LCM(25819,25830) = 666904770

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Least Common Multiple of 25819 and 25830 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25819 and 25830, than apply into the LCM equation.

GCF(25819,25830) = 1
LCM(25819,25830) = ( 25819 × 25830) / 1
LCM(25819,25830) = 666904770 / 1
LCM(25819,25830) = 666904770

Least Common Multiple (LCM) of 25819 and 25830 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25819 and 25830. First we will calculate the prime factors of 25819 and 25830.

Prime Factorization of 25819

Prime factors of 25819 are 25819. Prime factorization of 25819 in exponential form is:

25819 = 258191

Prime Factorization of 25830

Prime factors of 25830 are 2, 3, 5, 7, 41. Prime factorization of 25830 in exponential form is:

25830 = 21 × 32 × 51 × 71 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 25819 and 25830.

LCM(25819,25830) = 258191 × 21 × 32 × 51 × 71 × 411
LCM(25819,25830) = 666904770