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What is the Least Common Multiple of 67983 and 67999?

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 67983 and 67999 is 4622776017.

LCM(67983,67999) = 4622776017

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Least Common Multiple of 67983 and 67999 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67983 and 67999, than apply into the LCM equation.

GCF(67983,67999) = 1
LCM(67983,67999) = ( 67983 × 67999) / 1
LCM(67983,67999) = 4622776017 / 1
LCM(67983,67999) = 4622776017

Least Common Multiple (LCM) of 67983 and 67999 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67983 and 67999. First we will calculate the prime factors of 67983 and 67999.

Prime Factorization of 67983

Prime factors of 67983 are 3, 17, 31, 43. Prime factorization of 67983 in exponential form is:

67983 = 31 × 171 × 311 × 431

Prime Factorization of 67999

Prime factors of 67999 are 53, 1283. Prime factorization of 67999 in exponential form is:

67999 = 531 × 12831

Now multiplying the highest exponent prime factors to calculate the LCM of 67983 and 67999.

LCM(67983,67999) = 31 × 171 × 311 × 431 × 531 × 12831
LCM(67983,67999) = 4622776017