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What is the Least Common Multiple of 16254 and 16265?

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 16254 and 16265 is 264371310.

LCM(16254,16265) = 264371310

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Least Common Multiple of 16254 and 16265 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16254 and 16265, than apply into the LCM equation.

GCF(16254,16265) = 1
LCM(16254,16265) = ( 16254 × 16265) / 1
LCM(16254,16265) = 264371310 / 1
LCM(16254,16265) = 264371310

Least Common Multiple (LCM) of 16254 and 16265 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16254 and 16265. First we will calculate the prime factors of 16254 and 16265.

Prime Factorization of 16254

Prime factors of 16254 are 2, 3, 7, 43. Prime factorization of 16254 in exponential form is:

16254 = 21 × 33 × 71 × 431

Prime Factorization of 16265

Prime factors of 16265 are 5, 3253. Prime factorization of 16265 in exponential form is:

16265 = 51 × 32531

Now multiplying the highest exponent prime factors to calculate the LCM of 16254 and 16265.

LCM(16254,16265) = 21 × 33 × 71 × 431 × 51 × 32531
LCM(16254,16265) = 264371310