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What is the Least Common Multiple of 67994 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 67994 and 67999 is 4623524006.

LCM(67994,67999) = 4623524006

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Least Common Multiple of 67994 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 67994 and 67999, than apply into the LCM equation.

GCF(67994,67999) = 1
LCM(67994,67999) = ( 67994 × 67999) / 1
LCM(67994,67999) = 4623524006 / 1
LCM(67994,67999) = 4623524006

Least Common Multiple (LCM) of 67994 and 67999 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67994 and 67999. First we will calculate the prime factors of 67994 and 67999.

Prime Factorization of 67994

Prime factors of 67994 are 2, 33997. Prime factorization of 67994 in exponential form is:

67994 = 21 × 339971

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 67994 and 67999.

LCM(67994,67999) = 21 × 339971 × 531 × 12831
LCM(67994,67999) = 4623524006