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What is the Least Common Multiple of 16335 and 16340?

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 16335 and 16340 is 53382780.

LCM(16335,16340) = 53382780

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Least Common Multiple of 16335 and 16340 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16335 and 16340, than apply into the LCM equation.

GCF(16335,16340) = 5
LCM(16335,16340) = ( 16335 × 16340) / 5
LCM(16335,16340) = 266913900 / 5
LCM(16335,16340) = 53382780

Least Common Multiple (LCM) of 16335 and 16340 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16335 and 16340. First we will calculate the prime factors of 16335 and 16340.

Prime Factorization of 16335

Prime factors of 16335 are 3, 5, 11. Prime factorization of 16335 in exponential form is:

16335 = 33 × 51 × 112

Prime Factorization of 16340

Prime factors of 16340 are 2, 5, 19, 43. Prime factorization of 16340 in exponential form is:

16340 = 22 × 51 × 191 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 16335 and 16340.

LCM(16335,16340) = 33 × 51 × 112 × 22 × 191 × 431
LCM(16335,16340) = 53382780