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What is the Least Common Multiple of 25174 and 25185?

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 25174 and 25185 is 634007190.

LCM(25174,25185) = 634007190

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Least Common Multiple of 25174 and 25185 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25174 and 25185, than apply into the LCM equation.

GCF(25174,25185) = 1
LCM(25174,25185) = ( 25174 × 25185) / 1
LCM(25174,25185) = 634007190 / 1
LCM(25174,25185) = 634007190

Least Common Multiple (LCM) of 25174 and 25185 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25174 and 25185. First we will calculate the prime factors of 25174 and 25185.

Prime Factorization of 25174

Prime factors of 25174 are 2, 41, 307. Prime factorization of 25174 in exponential form is:

25174 = 21 × 411 × 3071

Prime Factorization of 25185

Prime factors of 25185 are 3, 5, 23, 73. Prime factorization of 25185 in exponential form is:

25185 = 31 × 51 × 231 × 731

Now multiplying the highest exponent prime factors to calculate the LCM of 25174 and 25185.

LCM(25174,25185) = 21 × 411 × 3071 × 31 × 51 × 231 × 731
LCM(25174,25185) = 634007190