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What is the Least Common Multiple of 12007 and 12015?

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 12015 is 144264105.

LCM(12007,12015) = 144264105

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Least Common Multiple of 12007 and 12015 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 12015, than apply into the LCM equation.

GCF(12007,12015) = 1
LCM(12007,12015) = ( 12007 × 12015) / 1
LCM(12007,12015) = 144264105 / 1
LCM(12007,12015) = 144264105

Least Common Multiple (LCM) of 12007 and 12015 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12007 and 12015. First we will calculate the prime factors of 12007 and 12015.

Prime Factorization of 12007

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

12007 = 120071

Prime Factorization of 12015

Prime factors of 12015 are 3, 5, 89. Prime factorization of 12015 in exponential form is:

12015 = 33 × 51 × 891

Now multiplying the highest exponent prime factors to calculate the LCM of 12007 and 12015.

LCM(12007,12015) = 120071 × 33 × 51 × 891
LCM(12007,12015) = 144264105