What is the Least Common Multiple of 97197 and 97204?
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 97197 and 97204 is 9447937188.
LCM(97197,97204) = 9447937188
Least Common Multiple of 97197 and 97204 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97197 and 97204, than apply into the LCM equation.
GCF(97197,97204) = 1
LCM(97197,97204) = ( 97197 × 97204) / 1
LCM(97197,97204) = 9447937188 / 1
LCM(97197,97204) = 9447937188
Least Common Multiple (LCM) of 97197 and 97204 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 97197 and 97204. First we will calculate the prime factors of 97197 and 97204.
Prime Factorization of 97197
Prime factors of 97197 are 3, 179, 181. Prime factorization of 97197 in exponential form is:
97197 = 31 × 1791 × 1811
Prime Factorization of 97204
Prime factors of 97204 are 2, 19, 1279. Prime factorization of 97204 in exponential form is:
97204 = 22 × 191 × 12791
Now multiplying the highest exponent prime factors to calculate the LCM of 97197 and 97204.
LCM(97197,97204) = 31 × 1791 × 1811 × 22 × 191 × 12791
LCM(97197,97204) = 9447937188
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