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What is the Least Common Multiple of 6040 and 6049?

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 6040 and 6049 is 36535960.

LCM(6040,6049) = 36535960

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Least Common Multiple of 6040 and 6049 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6040 and 6049, than apply into the LCM equation.

GCF(6040,6049) = 1
LCM(6040,6049) = ( 6040 × 6049) / 1
LCM(6040,6049) = 36535960 / 1
LCM(6040,6049) = 36535960

Least Common Multiple (LCM) of 6040 and 6049 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6040 and 6049. First we will calculate the prime factors of 6040 and 6049.

Prime Factorization of 6040

Prime factors of 6040 are 2, 5, 151. Prime factorization of 6040 in exponential form is:

6040 = 23 × 51 × 1511

Prime Factorization of 6049

Prime factors of 6049 are 23, 263. Prime factorization of 6049 in exponential form is:

6049 = 231 × 2631

Now multiplying the highest exponent prime factors to calculate the LCM of 6040 and 6049.

LCM(6040,6049) = 23 × 51 × 1511 × 231 × 2631
LCM(6040,6049) = 36535960