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What is the Least Common Multiple of 17049 and 17062?

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 17049 and 17062 is 290890038.

LCM(17049,17062) = 290890038

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Least Common Multiple of 17049 and 17062 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17049 and 17062, than apply into the LCM equation.

GCF(17049,17062) = 1
LCM(17049,17062) = ( 17049 × 17062) / 1
LCM(17049,17062) = 290890038 / 1
LCM(17049,17062) = 290890038

Least Common Multiple (LCM) of 17049 and 17062 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17049 and 17062. First we will calculate the prime factors of 17049 and 17062.

Prime Factorization of 17049

Prime factors of 17049 are 3, 5683. Prime factorization of 17049 in exponential form is:

17049 = 31 × 56831

Prime Factorization of 17062

Prime factors of 17062 are 2, 19, 449. Prime factorization of 17062 in exponential form is:

17062 = 21 × 191 × 4491

Now multiplying the highest exponent prime factors to calculate the LCM of 17049 and 17062.

LCM(17049,17062) = 31 × 56831 × 21 × 191 × 4491
LCM(17049,17062) = 290890038