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What is the Least Common Multiple of 69093 and 69107?

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 69093 and 69107 is 4774809951.

LCM(69093,69107) = 4774809951

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Least Common Multiple of 69093 and 69107 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69093 and 69107, than apply into the LCM equation.

GCF(69093,69107) = 1
LCM(69093,69107) = ( 69093 × 69107) / 1
LCM(69093,69107) = 4774809951 / 1
LCM(69093,69107) = 4774809951

Least Common Multiple (LCM) of 69093 and 69107 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69093 and 69107. First we will calculate the prime factors of 69093 and 69107.

Prime Factorization of 69093

Prime factors of 69093 are 3, 853. Prime factorization of 69093 in exponential form is:

69093 = 34 × 8531

Prime Factorization of 69107

Prime factors of 69107 are 29, 2383. Prime factorization of 69107 in exponential form is:

69107 = 291 × 23831

Now multiplying the highest exponent prime factors to calculate the LCM of 69093 and 69107.

LCM(69093,69107) = 34 × 8531 × 291 × 23831
LCM(69093,69107) = 4774809951