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What is the Least Common Multiple of 25188 and 25205?

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 25188 and 25205 is 634863540.

LCM(25188,25205) = 634863540

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Least Common Multiple of 25188 and 25205 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25188 and 25205, than apply into the LCM equation.

GCF(25188,25205) = 1
LCM(25188,25205) = ( 25188 × 25205) / 1
LCM(25188,25205) = 634863540 / 1
LCM(25188,25205) = 634863540

Least Common Multiple (LCM) of 25188 and 25205 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25188 and 25205. First we will calculate the prime factors of 25188 and 25205.

Prime Factorization of 25188

Prime factors of 25188 are 2, 3, 2099. Prime factorization of 25188 in exponential form is:

25188 = 22 × 31 × 20991

Prime Factorization of 25205

Prime factors of 25205 are 5, 71. Prime factorization of 25205 in exponential form is:

25205 = 51 × 712

Now multiplying the highest exponent prime factors to calculate the LCM of 25188 and 25205.

LCM(25188,25205) = 22 × 31 × 20991 × 51 × 712
LCM(25188,25205) = 634863540