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What is the Least Common Multiple of 16276 and 16288?

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 16276 and 16288 is 66275872.

LCM(16276,16288) = 66275872

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Least Common Multiple of 16276 and 16288 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16276 and 16288, than apply into the LCM equation.

GCF(16276,16288) = 4
LCM(16276,16288) = ( 16276 × 16288) / 4
LCM(16276,16288) = 265103488 / 4
LCM(16276,16288) = 66275872

Least Common Multiple (LCM) of 16276 and 16288 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16276 and 16288. First we will calculate the prime factors of 16276 and 16288.

Prime Factorization of 16276

Prime factors of 16276 are 2, 13, 313. Prime factorization of 16276 in exponential form is:

16276 = 22 × 131 × 3131

Prime Factorization of 16288

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

16288 = 25 × 5091

Now multiplying the highest exponent prime factors to calculate the LCM of 16276 and 16288.

LCM(16276,16288) = 25 × 131 × 3131 × 5091
LCM(16276,16288) = 66275872