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What is the Least Common Multiple of 12019 and 12039?

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 12019 and 12039 is 144696741.

LCM(12019,12039) = 144696741

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Least Common Multiple of 12019 and 12039 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12019 and 12039, than apply into the LCM equation.

GCF(12019,12039) = 1
LCM(12019,12039) = ( 12019 × 12039) / 1
LCM(12019,12039) = 144696741 / 1
LCM(12019,12039) = 144696741

Least Common Multiple (LCM) of 12019 and 12039 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12019 and 12039. First we will calculate the prime factors of 12019 and 12039.

Prime Factorization of 12019

Prime factors of 12019 are 7, 17, 101. Prime factorization of 12019 in exponential form is:

12019 = 71 × 171 × 1011

Prime Factorization of 12039

Prime factors of 12039 are 3, 4013. Prime factorization of 12039 in exponential form is:

12039 = 31 × 40131

Now multiplying the highest exponent prime factors to calculate the LCM of 12019 and 12039.

LCM(12019,12039) = 71 × 171 × 1011 × 31 × 40131
LCM(12019,12039) = 144696741