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What is the Least Common Multiple of 6027 and 6040?

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 6027 and 6040 is 36403080.

LCM(6027,6040) = 36403080

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Least Common Multiple of 6027 and 6040 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6027 and 6040, than apply into the LCM equation.

GCF(6027,6040) = 1
LCM(6027,6040) = ( 6027 × 6040) / 1
LCM(6027,6040) = 36403080 / 1
LCM(6027,6040) = 36403080

Least Common Multiple (LCM) of 6027 and 6040 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6027 and 6040. First we will calculate the prime factors of 6027 and 6040.

Prime Factorization of 6027

Prime factors of 6027 are 3, 7, 41. Prime factorization of 6027 in exponential form is:

6027 = 31 × 72 × 411

Prime Factorization of 6040

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

6040 = 23 × 51 × 1511

Now multiplying the highest exponent prime factors to calculate the LCM of 6027 and 6040.

LCM(6027,6040) = 31 × 72 × 411 × 23 × 51 × 1511
LCM(6027,6040) = 36403080