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What is the Least Common Multiple of 25154 and 25161?

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 25161 is 632899794.

LCM(25154,25161) = 632899794

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Least Common Multiple of 25154 and 25161 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 25161, than apply into the LCM equation.

GCF(25154,25161) = 1
LCM(25154,25161) = ( 25154 × 25161) / 1
LCM(25154,25161) = 632899794 / 1
LCM(25154,25161) = 632899794

Least Common Multiple (LCM) of 25154 and 25161 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25154 and 25161. First we will calculate the prime factors of 25154 and 25161.

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 25161

Prime factors of 25161 are 3, 8387. Prime factorization of 25161 in exponential form is:

25161 = 31 × 83871

Now multiplying the highest exponent prime factors to calculate the LCM of 25154 and 25161.

LCM(25154,25161) = 21 × 125771 × 31 × 83871
LCM(25154,25161) = 632899794