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What is the Least Common Multiple of 16392 and 16398?

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 16392 and 16398 is 44799336.

LCM(16392,16398) = 44799336

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Least Common Multiple of 16392 and 16398 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16392 and 16398, than apply into the LCM equation.

GCF(16392,16398) = 6
LCM(16392,16398) = ( 16392 × 16398) / 6
LCM(16392,16398) = 268796016 / 6
LCM(16392,16398) = 44799336

Least Common Multiple (LCM) of 16392 and 16398 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16392 and 16398. First we will calculate the prime factors of 16392 and 16398.

Prime Factorization of 16392

Prime factors of 16392 are 2, 3, 683. Prime factorization of 16392 in exponential form is:

16392 = 23 × 31 × 6831

Prime Factorization of 16398

Prime factors of 16398 are 2, 3, 911. Prime factorization of 16398 in exponential form is:

16398 = 21 × 32 × 9111

Now multiplying the highest exponent prime factors to calculate the LCM of 16392 and 16398.

LCM(16392,16398) = 23 × 32 × 6831 × 9111
LCM(16392,16398) = 44799336