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What is the Least Common Multiple of 16188 and 16208?

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 16188 and 16208 is 65593776.

LCM(16188,16208) = 65593776

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Least Common Multiple of 16188 and 16208 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16188 and 16208, than apply into the LCM equation.

GCF(16188,16208) = 4
LCM(16188,16208) = ( 16188 × 16208) / 4
LCM(16188,16208) = 262375104 / 4
LCM(16188,16208) = 65593776

Least Common Multiple (LCM) of 16188 and 16208 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16188 and 16208. First we will calculate the prime factors of 16188 and 16208.

Prime Factorization of 16188

Prime factors of 16188 are 2, 3, 19, 71. Prime factorization of 16188 in exponential form is:

16188 = 22 × 31 × 191 × 711

Prime Factorization of 16208

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

16208 = 24 × 10131

Now multiplying the highest exponent prime factors to calculate the LCM of 16188 and 16208.

LCM(16188,16208) = 24 × 31 × 191 × 711 × 10131
LCM(16188,16208) = 65593776