What is the Least Common Multiple of 97899 and 97907?
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 97899 and 97907 is 9584997393.
LCM(97899,97907) = 9584997393
Least Common Multiple of 97899 and 97907 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97899 and 97907, than apply into the LCM equation.
GCF(97899,97907) = 1
LCM(97899,97907) = ( 97899 × 97907) / 1
LCM(97899,97907) = 9584997393 / 1
LCM(97899,97907) = 9584997393
Least Common Multiple (LCM) of 97899 and 97907 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 97899 and 97907. First we will calculate the prime factors of 97899 and 97907.
Prime Factorization of 97899
Prime factors of 97899 are 3, 32633. Prime factorization of 97899 in exponential form is:
97899 = 31 × 326331
Prime Factorization of 97907
Prime factors of 97907 are 19, 5153. Prime factorization of 97907 in exponential form is:
97907 = 191 × 51531
Now multiplying the highest exponent prime factors to calculate the LCM of 97899 and 97907.
LCM(97899,97907) = 31 × 326331 × 191 × 51531
LCM(97899,97907) = 9584997393
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