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What is the Least Common Multiple of 12029 and 12040?

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 12029 and 12040 is 144829160.

LCM(12029,12040) = 144829160

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Least Common Multiple of 12029 and 12040 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12029 and 12040, than apply into the LCM equation.

GCF(12029,12040) = 1
LCM(12029,12040) = ( 12029 × 12040) / 1
LCM(12029,12040) = 144829160 / 1
LCM(12029,12040) = 144829160

Least Common Multiple (LCM) of 12029 and 12040 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12029 and 12040. First we will calculate the prime factors of 12029 and 12040.

Prime Factorization of 12029

Prime factors of 12029 are 23, 523. Prime factorization of 12029 in exponential form is:

12029 = 231 × 5231

Prime Factorization of 12040

Prime factors of 12040 are 2, 5, 7, 43. Prime factorization of 12040 in exponential form is:

12040 = 23 × 51 × 71 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 12029 and 12040.

LCM(12029,12040) = 231 × 5231 × 23 × 51 × 71 × 431
LCM(12029,12040) = 144829160