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What is the Least Common Multiple of 67033 and 67038?

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 67033 and 67038 is 4493758254.

LCM(67033,67038) = 4493758254

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Least Common Multiple of 67033 and 67038 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67033 and 67038, than apply into the LCM equation.

GCF(67033,67038) = 1
LCM(67033,67038) = ( 67033 × 67038) / 1
LCM(67033,67038) = 4493758254 / 1
LCM(67033,67038) = 4493758254

Least Common Multiple (LCM) of 67033 and 67038 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67033 and 67038. First we will calculate the prime factors of 67033 and 67038.

Prime Factorization of 67033

Prime factors of 67033 are 67033. Prime factorization of 67033 in exponential form is:

67033 = 670331

Prime Factorization of 67038

Prime factors of 67038 are 2, 3, 11173. Prime factorization of 67038 in exponential form is:

67038 = 21 × 31 × 111731

Now multiplying the highest exponent prime factors to calculate the LCM of 67033 and 67038.

LCM(67033,67038) = 670331 × 21 × 31 × 111731
LCM(67033,67038) = 4493758254