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What is the Least Common Multiple of 16036 and 16044?

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 16036 and 16044 is 64320396.

LCM(16036,16044) = 64320396

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Least Common Multiple of 16036 and 16044 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16036 and 16044, than apply into the LCM equation.

GCF(16036,16044) = 4
LCM(16036,16044) = ( 16036 × 16044) / 4
LCM(16036,16044) = 257281584 / 4
LCM(16036,16044) = 64320396

Least Common Multiple (LCM) of 16036 and 16044 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16036 and 16044. First we will calculate the prime factors of 16036 and 16044.

Prime Factorization of 16036

Prime factors of 16036 are 2, 19, 211. Prime factorization of 16036 in exponential form is:

16036 = 22 × 191 × 2111

Prime Factorization of 16044

Prime factors of 16044 are 2, 3, 7, 191. Prime factorization of 16044 in exponential form is:

16044 = 22 × 31 × 71 × 1911

Now multiplying the highest exponent prime factors to calculate the LCM of 16036 and 16044.

LCM(16036,16044) = 22 × 191 × 2111 × 31 × 71 × 1911
LCM(16036,16044) = 64320396