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What is the Least Common Multiple of 69107 and 69127?

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 69107 and 69127 is 4777159589.

LCM(69107,69127) = 4777159589

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Least Common Multiple of 69107 and 69127 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69107 and 69127, than apply into the LCM equation.

GCF(69107,69127) = 1
LCM(69107,69127) = ( 69107 × 69127) / 1
LCM(69107,69127) = 4777159589 / 1
LCM(69107,69127) = 4777159589

Least Common Multiple (LCM) of 69107 and 69127 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69107 and 69127. First we will calculate the prime factors of 69107 and 69127.

Prime Factorization of 69107

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

69107 = 291 × 23831

Prime Factorization of 69127

Prime factors of 69127 are 69127. Prime factorization of 69127 in exponential form is:

69127 = 691271

Now multiplying the highest exponent prime factors to calculate the LCM of 69107 and 69127.

LCM(69107,69127) = 291 × 23831 × 691271
LCM(69107,69127) = 4777159589