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What is the Least Common Multiple of 67081 and 67093?

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 67081 and 67093 is 4500665533.

LCM(67081,67093) = 4500665533

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Least Common Multiple of 67081 and 67093 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67081 and 67093, than apply into the LCM equation.

GCF(67081,67093) = 1
LCM(67081,67093) = ( 67081 × 67093) / 1
LCM(67081,67093) = 4500665533 / 1
LCM(67081,67093) = 4500665533

Least Common Multiple (LCM) of 67081 and 67093 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67081 and 67093. First we will calculate the prime factors of 67081 and 67093.

Prime Factorization of 67081

Prime factors of 67081 are 7, 37. Prime factorization of 67081 in exponential form is:

67081 = 72 × 372

Prime Factorization of 67093

Prime factors of 67093 are 13, 397. Prime factorization of 67093 in exponential form is:

67093 = 132 × 3971

Now multiplying the highest exponent prime factors to calculate the LCM of 67081 and 67093.

LCM(67081,67093) = 72 × 372 × 132 × 3971
LCM(67081,67093) = 4500665533