What is the Least Common Multiple of 97873 and 97883?
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 97873 and 97883 is 9580102859.
LCM(97873,97883) = 9580102859
Least Common Multiple of 97873 and 97883 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97873 and 97883, than apply into the LCM equation.
GCF(97873,97883) = 1
LCM(97873,97883) = ( 97873 × 97883) / 1
LCM(97873,97883) = 9580102859 / 1
LCM(97873,97883) = 9580102859
Least Common Multiple (LCM) of 97873 and 97883 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 97873 and 97883. First we will calculate the prime factors of 97873 and 97883.
Prime Factorization of 97873
Prime factors of 97873 are 97, 1009. Prime factorization of 97873 in exponential form is:
97873 = 971 × 10091
Prime Factorization of 97883
Prime factors of 97883 are 97883. Prime factorization of 97883 in exponential form is:
97883 = 978831
Now multiplying the highest exponent prime factors to calculate the LCM of 97873 and 97883.
LCM(97873,97883) = 971 × 10091 × 978831
LCM(97873,97883) = 9580102859
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