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What is the Least Common Multiple of 17375 and 17379?

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 17375 and 17379 is 301960125.

LCM(17375,17379) = 301960125

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Least Common Multiple of 17375 and 17379 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17375 and 17379, than apply into the LCM equation.

GCF(17375,17379) = 1
LCM(17375,17379) = ( 17375 × 17379) / 1
LCM(17375,17379) = 301960125 / 1
LCM(17375,17379) = 301960125

Least Common Multiple (LCM) of 17375 and 17379 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17375 and 17379. First we will calculate the prime factors of 17375 and 17379.

Prime Factorization of 17375

Prime factors of 17375 are 5, 139. Prime factorization of 17375 in exponential form is:

17375 = 53 × 1391

Prime Factorization of 17379

Prime factors of 17379 are 3, 1931. Prime factorization of 17379 in exponential form is:

17379 = 32 × 19311

Now multiplying the highest exponent prime factors to calculate the LCM of 17375 and 17379.

LCM(17375,17379) = 53 × 1391 × 32 × 19311
LCM(17375,17379) = 301960125