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What is the Least Common Multiple of 69091 and 69099?

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 69091 and 69099 is 4774119009.

LCM(69091,69099) = 4774119009

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Least Common Multiple of 69091 and 69099 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69091 and 69099, than apply into the LCM equation.

GCF(69091,69099) = 1
LCM(69091,69099) = ( 69091 × 69099) / 1
LCM(69091,69099) = 4774119009 / 1
LCM(69091,69099) = 4774119009

Least Common Multiple (LCM) of 69091 and 69099 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69091 and 69099. First we will calculate the prime factors of 69091 and 69099.

Prime Factorization of 69091

Prime factors of 69091 are 11, 571. Prime factorization of 69091 in exponential form is:

69091 = 112 × 5711

Prime Factorization of 69099

Prime factors of 69099 are 3, 31, 743. Prime factorization of 69099 in exponential form is:

69099 = 31 × 311 × 7431

Now multiplying the highest exponent prime factors to calculate the LCM of 69091 and 69099.

LCM(69091,69099) = 112 × 5711 × 31 × 311 × 7431
LCM(69091,69099) = 4774119009