What is the Least Common Multiple of 97887 and 97903?
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 97887 and 97903 is 9583430961.
LCM(97887,97903) = 9583430961
Least Common Multiple of 97887 and 97903 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97887 and 97903, than apply into the LCM equation.
GCF(97887,97903) = 1
LCM(97887,97903) = ( 97887 × 97903) / 1
LCM(97887,97903) = 9583430961 / 1
LCM(97887,97903) = 9583430961
Least Common Multiple (LCM) of 97887 and 97903 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 97887 and 97903. First we will calculate the prime factors of 97887 and 97903.
Prime Factorization of 97887
Prime factors of 97887 are 3, 67, 487. Prime factorization of 97887 in exponential form is:
97887 = 31 × 671 × 4871
Prime Factorization of 97903
Prime factors of 97903 are 13, 17, 443. Prime factorization of 97903 in exponential form is:
97903 = 131 × 171 × 4431
Now multiplying the highest exponent prime factors to calculate the LCM of 97887 and 97903.
LCM(97887,97903) = 31 × 671 × 4871 × 131 × 171 × 4431
LCM(97887,97903) = 9583430961
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