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What is the Least Common Multiple of 16007 and 16012?

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 16007 and 16012 is 256304084.

LCM(16007,16012) = 256304084

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Least Common Multiple of 16007 and 16012 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16007 and 16012, than apply into the LCM equation.

GCF(16007,16012) = 1
LCM(16007,16012) = ( 16007 × 16012) / 1
LCM(16007,16012) = 256304084 / 1
LCM(16007,16012) = 256304084

Least Common Multiple (LCM) of 16007 and 16012 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16007 and 16012. First we will calculate the prime factors of 16007 and 16012.

Prime Factorization of 16007

Prime factors of 16007 are 16007. Prime factorization of 16007 in exponential form is:

16007 = 160071

Prime Factorization of 16012

Prime factors of 16012 are 2, 4003. Prime factorization of 16012 in exponential form is:

16012 = 22 × 40031

Now multiplying the highest exponent prime factors to calculate the LCM of 16007 and 16012.

LCM(16007,16012) = 160071 × 22 × 40031
LCM(16007,16012) = 256304084