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What is the Least Common Multiple of 28161 and 28175?

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 28161 and 28175 is 113348025.

LCM(28161,28175) = 113348025

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Least Common Multiple of 28161 and 28175 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28161 and 28175, than apply into the LCM equation.

GCF(28161,28175) = 7
LCM(28161,28175) = ( 28161 × 28175) / 7
LCM(28161,28175) = 793436175 / 7
LCM(28161,28175) = 113348025

Least Common Multiple (LCM) of 28161 and 28175 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28161 and 28175. First we will calculate the prime factors of 28161 and 28175.

Prime Factorization of 28161

Prime factors of 28161 are 3, 7, 149. Prime factorization of 28161 in exponential form is:

28161 = 33 × 71 × 1491

Prime Factorization of 28175

Prime factors of 28175 are 5, 7, 23. Prime factorization of 28175 in exponential form is:

28175 = 52 × 72 × 231

Now multiplying the highest exponent prime factors to calculate the LCM of 28161 and 28175.

LCM(28161,28175) = 33 × 72 × 1491 × 52 × 231
LCM(28161,28175) = 113348025