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What is the Least Common Multiple of 12007 and 12016?

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 12007 and 12016 is 144276112.

LCM(12007,12016) = 144276112

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Least Common Multiple of 12007 and 12016 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12007 and 12016, than apply into the LCM equation.

GCF(12007,12016) = 1
LCM(12007,12016) = ( 12007 × 12016) / 1
LCM(12007,12016) = 144276112 / 1
LCM(12007,12016) = 144276112

Least Common Multiple (LCM) of 12007 and 12016 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12007 and 12016. First we will calculate the prime factors of 12007 and 12016.

Prime Factorization of 12007

Prime factors of 12007 are 12007. Prime factorization of 12007 in exponential form is:

12007 = 120071

Prime Factorization of 12016

Prime factors of 12016 are 2, 751. Prime factorization of 12016 in exponential form is:

12016 = 24 × 7511

Now multiplying the highest exponent prime factors to calculate the LCM of 12007 and 12016.

LCM(12007,12016) = 120071 × 24 × 7511
LCM(12007,12016) = 144276112