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What is the Least Common Multiple of 14203 and 14219?

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 14203 and 14219 is 201952457.

LCM(14203,14219) = 201952457

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Least Common Multiple of 14203 and 14219 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14203 and 14219, than apply into the LCM equation.

GCF(14203,14219) = 1
LCM(14203,14219) = ( 14203 × 14219) / 1
LCM(14203,14219) = 201952457 / 1
LCM(14203,14219) = 201952457

Least Common Multiple (LCM) of 14203 and 14219 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14203 and 14219. First we will calculate the prime factors of 14203 and 14219.

Prime Factorization of 14203

Prime factors of 14203 are 7, 2029. Prime factorization of 14203 in exponential form is:

14203 = 71 × 20291

Prime Factorization of 14219

Prime factors of 14219 are 59, 241. Prime factorization of 14219 in exponential form is:

14219 = 591 × 2411

Now multiplying the highest exponent prime factors to calculate the LCM of 14203 and 14219.

LCM(14203,14219) = 71 × 20291 × 591 × 2411
LCM(14203,14219) = 201952457