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What is the Least Common Multiple of 17061 and 17074?

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 17061 and 17074 is 291299514.

LCM(17061,17074) = 291299514

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Least Common Multiple of 17061 and 17074 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17061 and 17074, than apply into the LCM equation.

GCF(17061,17074) = 1
LCM(17061,17074) = ( 17061 × 17074) / 1
LCM(17061,17074) = 291299514 / 1
LCM(17061,17074) = 291299514

Least Common Multiple (LCM) of 17061 and 17074 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17061 and 17074. First we will calculate the prime factors of 17061 and 17074.

Prime Factorization of 17061

Prime factors of 17061 are 3, 11, 47. Prime factorization of 17061 in exponential form is:

17061 = 31 × 112 × 471

Prime Factorization of 17074

Prime factors of 17074 are 2, 8537. Prime factorization of 17074 in exponential form is:

17074 = 21 × 85371

Now multiplying the highest exponent prime factors to calculate the LCM of 17061 and 17074.

LCM(17061,17074) = 31 × 112 × 471 × 21 × 85371
LCM(17061,17074) = 291299514