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What is the Least Common Multiple of 16071 and 16083?

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 16071 and 16083 is 86156631.

LCM(16071,16083) = 86156631

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Least Common Multiple of 16071 and 16083 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16071 and 16083, than apply into the LCM equation.

GCF(16071,16083) = 3
LCM(16071,16083) = ( 16071 × 16083) / 3
LCM(16071,16083) = 258469893 / 3
LCM(16071,16083) = 86156631

Least Common Multiple (LCM) of 16071 and 16083 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16071 and 16083. First we will calculate the prime factors of 16071 and 16083.

Prime Factorization of 16071

Prime factors of 16071 are 3, 11, 487. Prime factorization of 16071 in exponential form is:

16071 = 31 × 111 × 4871

Prime Factorization of 16083

Prime factors of 16083 are 3, 1787. Prime factorization of 16083 in exponential form is:

16083 = 32 × 17871

Now multiplying the highest exponent prime factors to calculate the LCM of 16071 and 16083.

LCM(16071,16083) = 32 × 111 × 4871 × 17871
LCM(16071,16083) = 86156631