What is the Least Common Multiple of 97885 and 97897?
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 97885 and 97897 is 9582647845.
LCM(97885,97897) = 9582647845
Least Common Multiple of 97885 and 97897 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97885 and 97897, than apply into the LCM equation.
GCF(97885,97897) = 1
LCM(97885,97897) = ( 97885 × 97897) / 1
LCM(97885,97897) = 9582647845 / 1
LCM(97885,97897) = 9582647845
Least Common Multiple (LCM) of 97885 and 97897 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 97885 and 97897. First we will calculate the prime factors of 97885 and 97897.
Prime Factorization of 97885
Prime factors of 97885 are 5, 19577. Prime factorization of 97885 in exponential form is:
97885 = 51 × 195771
Prime Factorization of 97897
Prime factors of 97897 are 223, 439. Prime factorization of 97897 in exponential form is:
97897 = 2231 × 4391
Now multiplying the highest exponent prime factors to calculate the LCM of 97885 and 97897.
LCM(97885,97897) = 51 × 195771 × 2231 × 4391
LCM(97885,97897) = 9582647845
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