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What is the Least Common Multiple of 71069 and 71086?

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 71069 and 71086 is 5052010934.

LCM(71069,71086) = 5052010934

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Least Common Multiple of 71069 and 71086 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71069 and 71086, than apply into the LCM equation.

GCF(71069,71086) = 1
LCM(71069,71086) = ( 71069 × 71086) / 1
LCM(71069,71086) = 5052010934 / 1
LCM(71069,71086) = 5052010934

Least Common Multiple (LCM) of 71069 and 71086 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71069 and 71086. First we will calculate the prime factors of 71069 and 71086.

Prime Factorization of 71069

Prime factors of 71069 are 71069. Prime factorization of 71069 in exponential form is:

71069 = 710691

Prime Factorization of 71086

Prime factors of 71086 are 2, 35543. Prime factorization of 71086 in exponential form is:

71086 = 21 × 355431

Now multiplying the highest exponent prime factors to calculate the LCM of 71069 and 71086.

LCM(71069,71086) = 710691 × 21 × 355431
LCM(71069,71086) = 5052010934