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What is the Least Common Multiple of 16214 and 16221?

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 16214 and 16221 is 263007294.

LCM(16214,16221) = 263007294

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Least Common Multiple of 16214 and 16221 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16214 and 16221, than apply into the LCM equation.

GCF(16214,16221) = 1
LCM(16214,16221) = ( 16214 × 16221) / 1
LCM(16214,16221) = 263007294 / 1
LCM(16214,16221) = 263007294

Least Common Multiple (LCM) of 16214 and 16221 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16214 and 16221. First we will calculate the prime factors of 16214 and 16221.

Prime Factorization of 16214

Prime factors of 16214 are 2, 11, 67. Prime factorization of 16214 in exponential form is:

16214 = 21 × 112 × 671

Prime Factorization of 16221

Prime factors of 16221 are 3, 5407. Prime factorization of 16221 in exponential form is:

16221 = 31 × 54071

Now multiplying the highest exponent prime factors to calculate the LCM of 16214 and 16221.

LCM(16214,16221) = 21 × 112 × 671 × 31 × 54071
LCM(16214,16221) = 263007294