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What is the Least Common Multiple of 17098 and 17115?

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 17098 and 17115 is 292632270.

LCM(17098,17115) = 292632270

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Least Common Multiple of 17098 and 17115 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17098 and 17115, than apply into the LCM equation.

GCF(17098,17115) = 1
LCM(17098,17115) = ( 17098 × 17115) / 1
LCM(17098,17115) = 292632270 / 1
LCM(17098,17115) = 292632270

Least Common Multiple (LCM) of 17098 and 17115 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17098 and 17115. First we will calculate the prime factors of 17098 and 17115.

Prime Factorization of 17098

Prime factors of 17098 are 2, 83, 103. Prime factorization of 17098 in exponential form is:

17098 = 21 × 831 × 1031

Prime Factorization of 17115

Prime factors of 17115 are 3, 5, 7, 163. Prime factorization of 17115 in exponential form is:

17115 = 31 × 51 × 71 × 1631

Now multiplying the highest exponent prime factors to calculate the LCM of 17098 and 17115.

LCM(17098,17115) = 21 × 831 × 1031 × 31 × 51 × 71 × 1631
LCM(17098,17115) = 292632270