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What is the Least Common Multiple of 16227 and 16241?

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 16227 and 16241 is 263542707.

LCM(16227,16241) = 263542707

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Least Common Multiple of 16227 and 16241 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16227 and 16241, than apply into the LCM equation.

GCF(16227,16241) = 1
LCM(16227,16241) = ( 16227 × 16241) / 1
LCM(16227,16241) = 263542707 / 1
LCM(16227,16241) = 263542707

Least Common Multiple (LCM) of 16227 and 16241 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16227 and 16241. First we will calculate the prime factors of 16227 and 16241.

Prime Factorization of 16227

Prime factors of 16227 are 3, 601. Prime factorization of 16227 in exponential form is:

16227 = 33 × 6011

Prime Factorization of 16241

Prime factors of 16241 are 109, 149. Prime factorization of 16241 in exponential form is:

16241 = 1091 × 1491

Now multiplying the highest exponent prime factors to calculate the LCM of 16227 and 16241.

LCM(16227,16241) = 33 × 6011 × 1091 × 1491
LCM(16227,16241) = 263542707