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What is the Least Common Multiple of 16038 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 16038 and 16044 is 42885612.

LCM(16038,16044) = 42885612

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Least Common Multiple of 16038 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 16038 and 16044, than apply into the LCM equation.

GCF(16038,16044) = 6
LCM(16038,16044) = ( 16038 × 16044) / 6
LCM(16038,16044) = 257313672 / 6
LCM(16038,16044) = 42885612

Least Common Multiple (LCM) of 16038 and 16044 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16038 and 16044. First we will calculate the prime factors of 16038 and 16044.

Prime Factorization of 16038

Prime factors of 16038 are 2, 3, 11. Prime factorization of 16038 in exponential form is:

16038 = 21 × 36 × 111

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 16038 and 16044.

LCM(16038,16044) = 22 × 36 × 111 × 71 × 1911
LCM(16038,16044) = 42885612