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What is the Least Common Multiple of 16253 and 16268?

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 16253 and 16268 is 264403804.

LCM(16253,16268) = 264403804

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Least Common Multiple of 16253 and 16268 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16253 and 16268, than apply into the LCM equation.

GCF(16253,16268) = 1
LCM(16253,16268) = ( 16253 × 16268) / 1
LCM(16253,16268) = 264403804 / 1
LCM(16253,16268) = 264403804

Least Common Multiple (LCM) of 16253 and 16268 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16253 and 16268. First we will calculate the prime factors of 16253 and 16268.

Prime Factorization of 16253

Prime factors of 16253 are 16253. Prime factorization of 16253 in exponential form is:

16253 = 162531

Prime Factorization of 16268

Prime factors of 16268 are 2, 7, 83. Prime factorization of 16268 in exponential form is:

16268 = 22 × 72 × 831

Now multiplying the highest exponent prime factors to calculate the LCM of 16253 and 16268.

LCM(16253,16268) = 162531 × 22 × 72 × 831
LCM(16253,16268) = 264403804