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What is the Least Common Multiple of 83063 and 83069?

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 83069 is 6899960347.

LCM(83063,83069) = 6899960347

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Least Common Multiple of 83063 and 83069 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 83069, than apply into the LCM equation.

GCF(83063,83069) = 1
LCM(83063,83069) = ( 83063 × 83069) / 1
LCM(83063,83069) = 6899960347 / 1
LCM(83063,83069) = 6899960347

Least Common Multiple (LCM) of 83063 and 83069 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83063 and 83069. First we will calculate the prime factors of 83063 and 83069.

Prime Factorization of 83063

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

83063 = 830631

Prime Factorization of 83069

Prime factors of 83069 are 7, 11867. Prime factorization of 83069 in exponential form is:

83069 = 71 × 118671

Now multiplying the highest exponent prime factors to calculate the LCM of 83063 and 83069.

LCM(83063,83069) = 830631 × 71 × 118671
LCM(83063,83069) = 6899960347