What is the Least Common Multiple of 97897 and 97902?
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 97897 and 97902 is 9584312094.
LCM(97897,97902) = 9584312094
Least Common Multiple of 97897 and 97902 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97897 and 97902, than apply into the LCM equation.
GCF(97897,97902) = 1
LCM(97897,97902) = ( 97897 × 97902) / 1
LCM(97897,97902) = 9584312094 / 1
LCM(97897,97902) = 9584312094
Least Common Multiple (LCM) of 97897 and 97902 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 97897 and 97902. First we will calculate the prime factors of 97897 and 97902.
Prime Factorization of 97897
Prime factors of 97897 are 223, 439. Prime factorization of 97897 in exponential form is:
97897 = 2231 × 4391
Prime Factorization of 97902
Prime factors of 97902 are 2, 3, 7, 37. Prime factorization of 97902 in exponential form is:
97902 = 21 × 33 × 72 × 371
Now multiplying the highest exponent prime factors to calculate the LCM of 97897 and 97902.
LCM(97897,97902) = 2231 × 4391 × 21 × 33 × 72 × 371
LCM(97897,97902) = 9584312094
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