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What is the Least Common Multiple of 16067 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 16067 and 16083 is 258405561.

LCM(16067,16083) = 258405561

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Least Common Multiple of 16067 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 16067 and 16083, than apply into the LCM equation.

GCF(16067,16083) = 1
LCM(16067,16083) = ( 16067 × 16083) / 1
LCM(16067,16083) = 258405561 / 1
LCM(16067,16083) = 258405561

Least Common Multiple (LCM) of 16067 and 16083 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16067 and 16083. First we will calculate the prime factors of 16067 and 16083.

Prime Factorization of 16067

Prime factors of 16067 are 16067. Prime factorization of 16067 in exponential form is:

16067 = 160671

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 16067 and 16083.

LCM(16067,16083) = 160671 × 32 × 17871
LCM(16067,16083) = 258405561