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What is the Least Common Multiple of 70981 and 70999?

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 70981 and 70999 is 5039580019.

LCM(70981,70999) = 5039580019

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Least Common Multiple of 70981 and 70999 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70981 and 70999, than apply into the LCM equation.

GCF(70981,70999) = 1
LCM(70981,70999) = ( 70981 × 70999) / 1
LCM(70981,70999) = 5039580019 / 1
LCM(70981,70999) = 5039580019

Least Common Multiple (LCM) of 70981 and 70999 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70981 and 70999. First we will calculate the prime factors of 70981 and 70999.

Prime Factorization of 70981

Prime factors of 70981 are 70981. Prime factorization of 70981 in exponential form is:

70981 = 709811

Prime Factorization of 70999

Prime factors of 70999 are 70999. Prime factorization of 70999 in exponential form is:

70999 = 709991

Now multiplying the highest exponent prime factors to calculate the LCM of 70981 and 70999.

LCM(70981,70999) = 709811 × 709991
LCM(70981,70999) = 5039580019