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What is the Least Common Multiple of 17114 and 17122?

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 17114 and 17122 is 146512954.

LCM(17114,17122) = 146512954

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Least Common Multiple of 17114 and 17122 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17114 and 17122, than apply into the LCM equation.

GCF(17114,17122) = 2
LCM(17114,17122) = ( 17114 × 17122) / 2
LCM(17114,17122) = 293025908 / 2
LCM(17114,17122) = 146512954

Least Common Multiple (LCM) of 17114 and 17122 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17114 and 17122. First we will calculate the prime factors of 17114 and 17122.

Prime Factorization of 17114

Prime factors of 17114 are 2, 43, 199. Prime factorization of 17114 in exponential form is:

17114 = 21 × 431 × 1991

Prime Factorization of 17122

Prime factors of 17122 are 2, 7, 1223. Prime factorization of 17122 in exponential form is:

17122 = 21 × 71 × 12231

Now multiplying the highest exponent prime factors to calculate the LCM of 17114 and 17122.

LCM(17114,17122) = 21 × 431 × 1991 × 71 × 12231
LCM(17114,17122) = 146512954