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What is the Least Common Multiple of 16208 and 16227?

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 16208 and 16227 is 263007216.

LCM(16208,16227) = 263007216

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Least Common Multiple of 16208 and 16227 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16208 and 16227, than apply into the LCM equation.

GCF(16208,16227) = 1
LCM(16208,16227) = ( 16208 × 16227) / 1
LCM(16208,16227) = 263007216 / 1
LCM(16208,16227) = 263007216

Least Common Multiple (LCM) of 16208 and 16227 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16208 and 16227. First we will calculate the prime factors of 16208 and 16227.

Prime Factorization of 16208

Prime factors of 16208 are 2, 1013. Prime factorization of 16208 in exponential form is:

16208 = 24 × 10131

Prime Factorization of 16227

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

16227 = 33 × 6011

Now multiplying the highest exponent prime factors to calculate the LCM of 16208 and 16227.

LCM(16208,16227) = 24 × 10131 × 33 × 6011
LCM(16208,16227) = 263007216