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
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
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