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What is the Least Common Multiple of 16214 and 16233?

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 16233 is 263201862.

LCM(16214,16233) = 263201862

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Least Common Multiple of 16214 and 16233 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 16233, than apply into the LCM equation.

GCF(16214,16233) = 1
LCM(16214,16233) = ( 16214 × 16233) / 1
LCM(16214,16233) = 263201862 / 1
LCM(16214,16233) = 263201862

Least Common Multiple (LCM) of 16214 and 16233 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16214 and 16233. First we will calculate the prime factors of 16214 and 16233.

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 16233

Prime factors of 16233 are 3, 7, 773. Prime factorization of 16233 in exponential form is:

16233 = 31 × 71 × 7731

Now multiplying the highest exponent prime factors to calculate the LCM of 16214 and 16233.

LCM(16214,16233) = 21 × 112 × 671 × 31 × 71 × 7731
LCM(16214,16233) = 263201862