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What is the Least Common Multiple of 14017 and 14036?

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 14017 and 14036 is 196742612.

LCM(14017,14036) = 196742612

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Least Common Multiple of 14017 and 14036 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14017 and 14036, than apply into the LCM equation.

GCF(14017,14036) = 1
LCM(14017,14036) = ( 14017 × 14036) / 1
LCM(14017,14036) = 196742612 / 1
LCM(14017,14036) = 196742612

Least Common Multiple (LCM) of 14017 and 14036 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14017 and 14036. First we will calculate the prime factors of 14017 and 14036.

Prime Factorization of 14017

Prime factors of 14017 are 107, 131. Prime factorization of 14017 in exponential form is:

14017 = 1071 × 1311

Prime Factorization of 14036

Prime factors of 14036 are 2, 11, 29. Prime factorization of 14036 in exponential form is:

14036 = 22 × 112 × 291

Now multiplying the highest exponent prime factors to calculate the LCM of 14017 and 14036.

LCM(14017,14036) = 1071 × 1311 × 22 × 112 × 291
LCM(14017,14036) = 196742612