What is the Least Common Multiple of 97891 and 97901?
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 97891 and 97901 is 9583626791.
LCM(97891,97901) = 9583626791
Least Common Multiple of 97891 and 97901 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97891 and 97901, than apply into the LCM equation.
GCF(97891,97901) = 1
LCM(97891,97901) = ( 97891 × 97901) / 1
LCM(97891,97901) = 9583626791 / 1
LCM(97891,97901) = 9583626791
Least Common Multiple (LCM) of 97891 and 97901 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 97891 and 97901. First we will calculate the prime factors of 97891 and 97901.
Prime Factorization of 97891
Prime factors of 97891 are 53, 1847. Prime factorization of 97891 in exponential form is:
97891 = 531 × 18471
Prime Factorization of 97901
Prime factors of 97901 are 47, 2083. Prime factorization of 97901 in exponential form is:
97901 = 471 × 20831
Now multiplying the highest exponent prime factors to calculate the LCM of 97891 and 97901.
LCM(97891,97901) = 531 × 18471 × 471 × 20831
LCM(97891,97901) = 9583626791
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