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What is the Least Common Multiple of 25161 and 25179?

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 25179 is 211176273.

LCM(25161,25179) = 211176273

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Least Common Multiple of 25161 and 25179 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 25179, than apply into the LCM equation.

GCF(25161,25179) = 3
LCM(25161,25179) = ( 25161 × 25179) / 3
LCM(25161,25179) = 633528819 / 3
LCM(25161,25179) = 211176273

Least Common Multiple (LCM) of 25161 and 25179 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25161 and 25179. First we will calculate the prime factors of 25161 and 25179.

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 25179

Prime factors of 25179 are 3, 7, 11, 109. Prime factorization of 25179 in exponential form is:

25179 = 31 × 71 × 111 × 1091

Now multiplying the highest exponent prime factors to calculate the LCM of 25161 and 25179.

LCM(25161,25179) = 31 × 83871 × 71 × 111 × 1091
LCM(25161,25179) = 211176273