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What is the Least Common Multiple of 16219 and 16238?

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 16219 and 16238 is 263364122.

LCM(16219,16238) = 263364122

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Least Common Multiple of 16219 and 16238 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16219 and 16238, than apply into the LCM equation.

GCF(16219,16238) = 1
LCM(16219,16238) = ( 16219 × 16238) / 1
LCM(16219,16238) = 263364122 / 1
LCM(16219,16238) = 263364122

Least Common Multiple (LCM) of 16219 and 16238 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16219 and 16238. First we will calculate the prime factors of 16219 and 16238.

Prime Factorization of 16219

Prime factors of 16219 are 7, 331. Prime factorization of 16219 in exponential form is:

16219 = 72 × 3311

Prime Factorization of 16238

Prime factors of 16238 are 2, 23, 353. Prime factorization of 16238 in exponential form is:

16238 = 21 × 231 × 3531

Now multiplying the highest exponent prime factors to calculate the LCM of 16219 and 16238.

LCM(16219,16238) = 72 × 3311 × 21 × 231 × 3531
LCM(16219,16238) = 263364122