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What is the Least Common Multiple of 16353 and 16366?

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 16353 and 16366 is 267633198.

LCM(16353,16366) = 267633198

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Least Common Multiple of 16353 and 16366 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16353 and 16366, than apply into the LCM equation.

GCF(16353,16366) = 1
LCM(16353,16366) = ( 16353 × 16366) / 1
LCM(16353,16366) = 267633198 / 1
LCM(16353,16366) = 267633198

Least Common Multiple (LCM) of 16353 and 16366 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16353 and 16366. First we will calculate the prime factors of 16353 and 16366.

Prime Factorization of 16353

Prime factors of 16353 are 3, 23, 79. Prime factorization of 16353 in exponential form is:

16353 = 32 × 231 × 791

Prime Factorization of 16366

Prime factors of 16366 are 2, 7, 167. Prime factorization of 16366 in exponential form is:

16366 = 21 × 72 × 1671

Now multiplying the highest exponent prime factors to calculate the LCM of 16353 and 16366.

LCM(16353,16366) = 32 × 231 × 791 × 21 × 72 × 1671
LCM(16353,16366) = 267633198