What is the Least Common Multiple of 70841 and 70845?
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 70841 and 70845 is 5018730645.
LCM(70841,70845) = 5018730645
Least Common Multiple of 70841 and 70845 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70841 and 70845, than apply into the LCM equation.
GCF(70841,70845) = 1
LCM(70841,70845) = ( 70841 × 70845) / 1
LCM(70841,70845) = 5018730645 / 1
LCM(70841,70845) = 5018730645
Least Common Multiple (LCM) of 70841 and 70845 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 70841 and 70845. First we will calculate the prime factors of 70841 and 70845.
Prime Factorization of 70841
Prime factors of 70841 are 70841. Prime factorization of 70841 in exponential form is:
70841 = 708411
Prime Factorization of 70845
Prime factors of 70845 are 3, 5, 4723. Prime factorization of 70845 in exponential form is:
70845 = 31 × 51 × 47231
Now multiplying the highest exponent prime factors to calculate the LCM of 70841 and 70845.
LCM(70841,70845) = 708411 × 31 × 51 × 47231
LCM(70841,70845) = 5018730645
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