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What is the Least Common Multiple of 17060 and 17080?

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 17060 and 17080 is 14569240.

LCM(17060,17080) = 14569240

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Least Common Multiple of 17060 and 17080 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17060 and 17080, than apply into the LCM equation.

GCF(17060,17080) = 20
LCM(17060,17080) = ( 17060 × 17080) / 20
LCM(17060,17080) = 291384800 / 20
LCM(17060,17080) = 14569240

Least Common Multiple (LCM) of 17060 and 17080 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17060 and 17080. First we will calculate the prime factors of 17060 and 17080.

Prime Factorization of 17060

Prime factors of 17060 are 2, 5, 853. Prime factorization of 17060 in exponential form is:

17060 = 22 × 51 × 8531

Prime Factorization of 17080

Prime factors of 17080 are 2, 5, 7, 61. Prime factorization of 17080 in exponential form is:

17080 = 23 × 51 × 71 × 611

Now multiplying the highest exponent prime factors to calculate the LCM of 17060 and 17080.

LCM(17060,17080) = 23 × 51 × 8531 × 71 × 611
LCM(17060,17080) = 14569240