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What is the Least Common Multiple of 25182 and 25187?

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 25182 and 25187 is 634259034.

LCM(25182,25187) = 634259034

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Least Common Multiple of 25182 and 25187 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25182 and 25187, than apply into the LCM equation.

GCF(25182,25187) = 1
LCM(25182,25187) = ( 25182 × 25187) / 1
LCM(25182,25187) = 634259034 / 1
LCM(25182,25187) = 634259034

Least Common Multiple (LCM) of 25182 and 25187 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25182 and 25187. First we will calculate the prime factors of 25182 and 25187.

Prime Factorization of 25182

Prime factors of 25182 are 2, 3, 1399. Prime factorization of 25182 in exponential form is:

25182 = 21 × 32 × 13991

Prime Factorization of 25187

Prime factors of 25187 are 89, 283. Prime factorization of 25187 in exponential form is:

25187 = 891 × 2831

Now multiplying the highest exponent prime factors to calculate the LCM of 25182 and 25187.

LCM(25182,25187) = 21 × 32 × 13991 × 891 × 2831
LCM(25182,25187) = 634259034