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What is the Least Common Multiple of 16453 and 16466?

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 16453 and 16466 is 270915098.

LCM(16453,16466) = 270915098

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Least Common Multiple of 16453 and 16466 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16453 and 16466, than apply into the LCM equation.

GCF(16453,16466) = 1
LCM(16453,16466) = ( 16453 × 16466) / 1
LCM(16453,16466) = 270915098 / 1
LCM(16453,16466) = 270915098

Least Common Multiple (LCM) of 16453 and 16466 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16453 and 16466. First we will calculate the prime factors of 16453 and 16466.

Prime Factorization of 16453

Prime factors of 16453 are 16453. Prime factorization of 16453 in exponential form is:

16453 = 164531

Prime Factorization of 16466

Prime factors of 16466 are 2, 8233. Prime factorization of 16466 in exponential form is:

16466 = 21 × 82331

Now multiplying the highest exponent prime factors to calculate the LCM of 16453 and 16466.

LCM(16453,16466) = 164531 × 21 × 82331
LCM(16453,16466) = 270915098