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What is the Least Common Multiple of 69065 and 69083?

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 69065 and 69083 is 4771217395.

LCM(69065,69083) = 4771217395

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Least Common Multiple of 69065 and 69083 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69065 and 69083, than apply into the LCM equation.

GCF(69065,69083) = 1
LCM(69065,69083) = ( 69065 × 69083) / 1
LCM(69065,69083) = 4771217395 / 1
LCM(69065,69083) = 4771217395

Least Common Multiple (LCM) of 69065 and 69083 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69065 and 69083. First we will calculate the prime factors of 69065 and 69083.

Prime Factorization of 69065

Prime factors of 69065 are 5, 19, 727. Prime factorization of 69065 in exponential form is:

69065 = 51 × 191 × 7271

Prime Factorization of 69083

Prime factors of 69083 are 7, 71, 139. Prime factorization of 69083 in exponential form is:

69083 = 71 × 711 × 1391

Now multiplying the highest exponent prime factors to calculate the LCM of 69065 and 69083.

LCM(69065,69083) = 51 × 191 × 7271 × 71 × 711 × 1391
LCM(69065,69083) = 4771217395