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What is the Least Common Multiple of 33027 and 33037?

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 33027 and 33037 is 1091112999.

LCM(33027,33037) = 1091112999

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Least Common Multiple of 33027 and 33037 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33027 and 33037, than apply into the LCM equation.

GCF(33027,33037) = 1
LCM(33027,33037) = ( 33027 × 33037) / 1
LCM(33027,33037) = 1091112999 / 1
LCM(33027,33037) = 1091112999

Least Common Multiple (LCM) of 33027 and 33037 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33027 and 33037. First we will calculate the prime factors of 33027 and 33037.

Prime Factorization of 33027

Prime factors of 33027 are 3, 101, 109. Prime factorization of 33027 in exponential form is:

33027 = 31 × 1011 × 1091

Prime Factorization of 33037

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

33037 = 330371

Now multiplying the highest exponent prime factors to calculate the LCM of 33027 and 33037.

LCM(33027,33037) = 31 × 1011 × 1091 × 330371
LCM(33027,33037) = 1091112999