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What is the Least Common Multiple of 67083 and 67099?

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 67083 and 67099 is 4501202217.

LCM(67083,67099) = 4501202217

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Least Common Multiple of 67083 and 67099 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67083 and 67099, than apply into the LCM equation.

GCF(67083,67099) = 1
LCM(67083,67099) = ( 67083 × 67099) / 1
LCM(67083,67099) = 4501202217 / 1
LCM(67083,67099) = 4501202217

Least Common Multiple (LCM) of 67083 and 67099 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67083 and 67099. First we will calculate the prime factors of 67083 and 67099.

Prime Factorization of 67083

Prime factors of 67083 are 3, 59, 379. Prime factorization of 67083 in exponential form is:

67083 = 31 × 591 × 3791

Prime Factorization of 67099

Prime factors of 67099 are 17, 3947. Prime factorization of 67099 in exponential form is:

67099 = 171 × 39471

Now multiplying the highest exponent prime factors to calculate the LCM of 67083 and 67099.

LCM(67083,67099) = 31 × 591 × 3791 × 171 × 39471
LCM(67083,67099) = 4501202217