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What is the Least Common Multiple of 17154 and 17165?

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 17154 and 17165 is 294448410.

LCM(17154,17165) = 294448410

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Least Common Multiple of 17154 and 17165 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17154 and 17165, than apply into the LCM equation.

GCF(17154,17165) = 1
LCM(17154,17165) = ( 17154 × 17165) / 1
LCM(17154,17165) = 294448410 / 1
LCM(17154,17165) = 294448410

Least Common Multiple (LCM) of 17154 and 17165 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17154 and 17165. First we will calculate the prime factors of 17154 and 17165.

Prime Factorization of 17154

Prime factors of 17154 are 2, 3, 953. Prime factorization of 17154 in exponential form is:

17154 = 21 × 32 × 9531

Prime Factorization of 17165

Prime factors of 17165 are 5, 3433. Prime factorization of 17165 in exponential form is:

17165 = 51 × 34331

Now multiplying the highest exponent prime factors to calculate the LCM of 17154 and 17165.

LCM(17154,17165) = 21 × 32 × 9531 × 51 × 34331
LCM(17154,17165) = 294448410