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What is the Least Common Multiple of 33037 and 33047?

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 33037 and 33047 is 1091773739.

LCM(33037,33047) = 1091773739

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Least Common Multiple of 33037 and 33047 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33037 and 33047, than apply into the LCM equation.

GCF(33037,33047) = 1
LCM(33037,33047) = ( 33037 × 33047) / 1
LCM(33037,33047) = 1091773739 / 1
LCM(33037,33047) = 1091773739

Least Common Multiple (LCM) of 33037 and 33047 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33037 and 33047. First we will calculate the prime factors of 33037 and 33047.

Prime Factorization of 33037

Prime factors of 33037 are 33037. Prime factorization of 33037 in exponential form is:

33037 = 330371

Prime Factorization of 33047

Prime factors of 33047 are 7, 4721. Prime factorization of 33047 in exponential form is:

33047 = 71 × 47211

Now multiplying the highest exponent prime factors to calculate the LCM of 33037 and 33047.

LCM(33037,33047) = 330371 × 71 × 47211
LCM(33037,33047) = 1091773739