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What is the Least Common Multiple of 83063 and 83068?

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 83063 and 83068 is 6899877284.

LCM(83063,83068) = 6899877284

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Least Common Multiple of 83063 and 83068 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83063 and 83068, than apply into the LCM equation.

GCF(83063,83068) = 1
LCM(83063,83068) = ( 83063 × 83068) / 1
LCM(83063,83068) = 6899877284 / 1
LCM(83063,83068) = 6899877284

Least Common Multiple (LCM) of 83063 and 83068 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83063 and 83068. First we will calculate the prime factors of 83063 and 83068.

Prime Factorization of 83063

Prime factors of 83063 are 83063. Prime factorization of 83063 in exponential form is:

83063 = 830631

Prime Factorization of 83068

Prime factors of 83068 are 2, 19, 1093. Prime factorization of 83068 in exponential form is:

83068 = 22 × 191 × 10931

Now multiplying the highest exponent prime factors to calculate the LCM of 83063 and 83068.

LCM(83063,83068) = 830631 × 22 × 191 × 10931
LCM(83063,83068) = 6899877284