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What is the Least Common Multiple of 25194 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 25194 and 25205 is 635014770.

LCM(25194,25205) = 635014770

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Least Common Multiple of 25194 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 25194 and 25205, than apply into the LCM equation.

GCF(25194,25205) = 1
LCM(25194,25205) = ( 25194 × 25205) / 1
LCM(25194,25205) = 635014770 / 1
LCM(25194,25205) = 635014770

Least Common Multiple (LCM) of 25194 and 25205 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25194 and 25205. First we will calculate the prime factors of 25194 and 25205.

Prime Factorization of 25194

Prime factors of 25194 are 2, 3, 13, 17, 19. Prime factorization of 25194 in exponential form is:

25194 = 21 × 31 × 131 × 171 × 191

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 25194 and 25205.

LCM(25194,25205) = 21 × 31 × 131 × 171 × 191 × 51 × 712
LCM(25194,25205) = 635014770