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What is the Least Common Multiple of 12040 and 12049?

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 12040 and 12049 is 145069960.

LCM(12040,12049) = 145069960

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Least Common Multiple of 12040 and 12049 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12040 and 12049, than apply into the LCM equation.

GCF(12040,12049) = 1
LCM(12040,12049) = ( 12040 × 12049) / 1
LCM(12040,12049) = 145069960 / 1
LCM(12040,12049) = 145069960

Least Common Multiple (LCM) of 12040 and 12049 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12040 and 12049. First we will calculate the prime factors of 12040 and 12049.

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

Prime Factorization of 12049

Prime factors of 12049 are 12049. Prime factorization of 12049 in exponential form is:

12049 = 120491

Now multiplying the highest exponent prime factors to calculate the LCM of 12040 and 12049.

LCM(12040,12049) = 23 × 51 × 71 × 431 × 120491
LCM(12040,12049) = 145069960