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What is the Least Common Multiple of 25154 and 25174?

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 25154 and 25174 is 316613398.

LCM(25154,25174) = 316613398

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Least Common Multiple of 25154 and 25174 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25154 and 25174, than apply into the LCM equation.

GCF(25154,25174) = 2
LCM(25154,25174) = ( 25154 × 25174) / 2
LCM(25154,25174) = 633226796 / 2
LCM(25154,25174) = 316613398

Least Common Multiple (LCM) of 25154 and 25174 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25154 and 25174. First we will calculate the prime factors of 25154 and 25174.

Prime Factorization of 25154

Prime factors of 25154 are 2, 12577. Prime factorization of 25154 in exponential form is:

25154 = 21 × 125771

Prime Factorization of 25174

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

25174 = 21 × 411 × 3071

Now multiplying the highest exponent prime factors to calculate the LCM of 25154 and 25174.

LCM(25154,25174) = 21 × 125771 × 411 × 3071
LCM(25154,25174) = 316613398