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What is the Least Common Multiple of 16244 and 16255?

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 16244 and 16255 is 264046220.

LCM(16244,16255) = 264046220

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Least Common Multiple of 16244 and 16255 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16244 and 16255, than apply into the LCM equation.

GCF(16244,16255) = 1
LCM(16244,16255) = ( 16244 × 16255) / 1
LCM(16244,16255) = 264046220 / 1
LCM(16244,16255) = 264046220

Least Common Multiple (LCM) of 16244 and 16255 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16244 and 16255. First we will calculate the prime factors of 16244 and 16255.

Prime Factorization of 16244

Prime factors of 16244 are 2, 31, 131. Prime factorization of 16244 in exponential form is:

16244 = 22 × 311 × 1311

Prime Factorization of 16255

Prime factors of 16255 are 5, 3251. Prime factorization of 16255 in exponential form is:

16255 = 51 × 32511

Now multiplying the highest exponent prime factors to calculate the LCM of 16244 and 16255.

LCM(16244,16255) = 22 × 311 × 1311 × 51 × 32511
LCM(16244,16255) = 264046220