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What is the Least Common Multiple of 25161 and 25177?

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 25161 and 25177 is 633478497.

LCM(25161,25177) = 633478497

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Least Common Multiple of 25161 and 25177 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25161 and 25177, than apply into the LCM equation.

GCF(25161,25177) = 1
LCM(25161,25177) = ( 25161 × 25177) / 1
LCM(25161,25177) = 633478497 / 1
LCM(25161,25177) = 633478497

Least Common Multiple (LCM) of 25161 and 25177 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25161 and 25177. First we will calculate the prime factors of 25161 and 25177.

Prime Factorization of 25161

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

25161 = 31 × 83871

Prime Factorization of 25177

Prime factors of 25177 are 17, 1481. Prime factorization of 25177 in exponential form is:

25177 = 171 × 14811

Now multiplying the highest exponent prime factors to calculate the LCM of 25161 and 25177.

LCM(25161,25177) = 31 × 83871 × 171 × 14811
LCM(25161,25177) = 633478497