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What is the Least Common Multiple of 17092 and 17106?

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 17092 and 17106 is 146187876.

LCM(17092,17106) = 146187876

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Least Common Multiple of 17092 and 17106 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17092 and 17106, than apply into the LCM equation.

GCF(17092,17106) = 2
LCM(17092,17106) = ( 17092 × 17106) / 2
LCM(17092,17106) = 292375752 / 2
LCM(17092,17106) = 146187876

Least Common Multiple (LCM) of 17092 and 17106 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17092 and 17106. First we will calculate the prime factors of 17092 and 17106.

Prime Factorization of 17092

Prime factors of 17092 are 2, 4273. Prime factorization of 17092 in exponential form is:

17092 = 22 × 42731

Prime Factorization of 17106

Prime factors of 17106 are 2, 3, 2851. Prime factorization of 17106 in exponential form is:

17106 = 21 × 31 × 28511

Now multiplying the highest exponent prime factors to calculate the LCM of 17092 and 17106.

LCM(17092,17106) = 22 × 42731 × 31 × 28511
LCM(17092,17106) = 146187876