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What is the Least Common Multiple of 17063 and 17078?

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 17063 and 17078 is 291401914.

LCM(17063,17078) = 291401914

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Least Common Multiple of 17063 and 17078 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17063 and 17078, than apply into the LCM equation.

GCF(17063,17078) = 1
LCM(17063,17078) = ( 17063 × 17078) / 1
LCM(17063,17078) = 291401914 / 1
LCM(17063,17078) = 291401914

Least Common Multiple (LCM) of 17063 and 17078 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17063 and 17078. First we will calculate the prime factors of 17063 and 17078.

Prime Factorization of 17063

Prime factors of 17063 are 113, 151. Prime factorization of 17063 in exponential form is:

17063 = 1131 × 1511

Prime Factorization of 17078

Prime factors of 17078 are 2, 8539. Prime factorization of 17078 in exponential form is:

17078 = 21 × 85391

Now multiplying the highest exponent prime factors to calculate the LCM of 17063 and 17078.

LCM(17063,17078) = 1131 × 1511 × 21 × 85391
LCM(17063,17078) = 291401914