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What is the Least Common Multiple of 25825 and 25834?

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 25825 and 25834 is 667163050.

LCM(25825,25834) = 667163050

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Least Common Multiple of 25825 and 25834 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25825 and 25834, than apply into the LCM equation.

GCF(25825,25834) = 1
LCM(25825,25834) = ( 25825 × 25834) / 1
LCM(25825,25834) = 667163050 / 1
LCM(25825,25834) = 667163050

Least Common Multiple (LCM) of 25825 and 25834 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25825 and 25834. First we will calculate the prime factors of 25825 and 25834.

Prime Factorization of 25825

Prime factors of 25825 are 5, 1033. Prime factorization of 25825 in exponential form is:

25825 = 52 × 10331

Prime Factorization of 25834

Prime factors of 25834 are 2, 12917. Prime factorization of 25834 in exponential form is:

25834 = 21 × 129171

Now multiplying the highest exponent prime factors to calculate the LCM of 25825 and 25834.

LCM(25825,25834) = 52 × 10331 × 21 × 129171
LCM(25825,25834) = 667163050