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What is the Least Common Multiple of 16288 and 16304?

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 16288 and 16304 is 16597472.

LCM(16288,16304) = 16597472

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Least Common Multiple of 16288 and 16304 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16288 and 16304, than apply into the LCM equation.

GCF(16288,16304) = 16
LCM(16288,16304) = ( 16288 × 16304) / 16
LCM(16288,16304) = 265559552 / 16
LCM(16288,16304) = 16597472

Least Common Multiple (LCM) of 16288 and 16304 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16288 and 16304. First we will calculate the prime factors of 16288 and 16304.

Prime Factorization of 16288

Prime factors of 16288 are 2, 509. Prime factorization of 16288 in exponential form is:

16288 = 25 × 5091

Prime Factorization of 16304

Prime factors of 16304 are 2, 1019. Prime factorization of 16304 in exponential form is:

16304 = 24 × 10191

Now multiplying the highest exponent prime factors to calculate the LCM of 16288 and 16304.

LCM(16288,16304) = 25 × 5091 × 10191
LCM(16288,16304) = 16597472