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What is the Least Common Multiple of 17134 and 17142?

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 17134 and 17142 is 146855514.

LCM(17134,17142) = 146855514

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Least Common Multiple of 17134 and 17142 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17134 and 17142, than apply into the LCM equation.

GCF(17134,17142) = 2
LCM(17134,17142) = ( 17134 × 17142) / 2
LCM(17134,17142) = 293711028 / 2
LCM(17134,17142) = 146855514

Least Common Multiple (LCM) of 17134 and 17142 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17134 and 17142. First we will calculate the prime factors of 17134 and 17142.

Prime Factorization of 17134

Prime factors of 17134 are 2, 13, 659. Prime factorization of 17134 in exponential form is:

17134 = 21 × 131 × 6591

Prime Factorization of 17142

Prime factors of 17142 are 2, 3, 2857. Prime factorization of 17142 in exponential form is:

17142 = 21 × 31 × 28571

Now multiplying the highest exponent prime factors to calculate the LCM of 17134 and 17142.

LCM(17134,17142) = 21 × 131 × 6591 × 31 × 28571
LCM(17134,17142) = 146855514