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What is the Least Common Multiple of 16047 and 16067?

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 16047 and 16067 is 257827149.

LCM(16047,16067) = 257827149

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Least Common Multiple of 16047 and 16067 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16047 and 16067, than apply into the LCM equation.

GCF(16047,16067) = 1
LCM(16047,16067) = ( 16047 × 16067) / 1
LCM(16047,16067) = 257827149 / 1
LCM(16047,16067) = 257827149

Least Common Multiple (LCM) of 16047 and 16067 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16047 and 16067. First we will calculate the prime factors of 16047 and 16067.

Prime Factorization of 16047

Prime factors of 16047 are 3, 1783. Prime factorization of 16047 in exponential form is:

16047 = 32 × 17831

Prime Factorization of 16067

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

16067 = 160671

Now multiplying the highest exponent prime factors to calculate the LCM of 16047 and 16067.

LCM(16047,16067) = 32 × 17831 × 160671
LCM(16047,16067) = 257827149