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What is the Least Common Multiple of 6032 and 6047?

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 6032 and 6047 is 36475504.

LCM(6032,6047) = 36475504

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Least Common Multiple of 6032 and 6047 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6032 and 6047, than apply into the LCM equation.

GCF(6032,6047) = 1
LCM(6032,6047) = ( 6032 × 6047) / 1
LCM(6032,6047) = 36475504 / 1
LCM(6032,6047) = 36475504

Least Common Multiple (LCM) of 6032 and 6047 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6032 and 6047. First we will calculate the prime factors of 6032 and 6047.

Prime Factorization of 6032

Prime factors of 6032 are 2, 13, 29. Prime factorization of 6032 in exponential form is:

6032 = 24 × 131 × 291

Prime Factorization of 6047

Prime factors of 6047 are 6047. Prime factorization of 6047 in exponential form is:

6047 = 60471

Now multiplying the highest exponent prime factors to calculate the LCM of 6032 and 6047.

LCM(6032,6047) = 24 × 131 × 291 × 60471
LCM(6032,6047) = 36475504