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What is the Least Common Multiple of 67099 and 67117?

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 67099 and 67117 is 4503483583.

LCM(67099,67117) = 4503483583

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Least Common Multiple of 67099 and 67117 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67099 and 67117, than apply into the LCM equation.

GCF(67099,67117) = 1
LCM(67099,67117) = ( 67099 × 67117) / 1
LCM(67099,67117) = 4503483583 / 1
LCM(67099,67117) = 4503483583

Least Common Multiple (LCM) of 67099 and 67117 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67099 and 67117. First we will calculate the prime factors of 67099 and 67117.

Prime Factorization of 67099

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

67099 = 171 × 39471

Prime Factorization of 67117

Prime factors of 67117 are 41, 1637. Prime factorization of 67117 in exponential form is:

67117 = 411 × 16371

Now multiplying the highest exponent prime factors to calculate the LCM of 67099 and 67117.

LCM(67099,67117) = 171 × 39471 × 411 × 16371
LCM(67099,67117) = 4503483583