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What is the Least Common Multiple of 16208 and 16226?

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 16226 is 131495504.

LCM(16208,16226) = 131495504

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Least Common Multiple of 16208 and 16226 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 16226, than apply into the LCM equation.

GCF(16208,16226) = 2
LCM(16208,16226) = ( 16208 × 16226) / 2
LCM(16208,16226) = 262991008 / 2
LCM(16208,16226) = 131495504

Least Common Multiple (LCM) of 16208 and 16226 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16208 and 16226. First we will calculate the prime factors of 16208 and 16226.

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 16226

Prime factors of 16226 are 2, 7, 19, 61. Prime factorization of 16226 in exponential form is:

16226 = 21 × 71 × 191 × 611

Now multiplying the highest exponent prime factors to calculate the LCM of 16208 and 16226.

LCM(16208,16226) = 24 × 10131 × 71 × 191 × 611
LCM(16208,16226) = 131495504