What is the Least Common Multiple of 97173 and 97185?
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 97173 and 97185 is 3147919335.
LCM(97173,97185) = 3147919335
Least Common Multiple of 97173 and 97185 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97173 and 97185, than apply into the LCM equation.
GCF(97173,97185) = 3
LCM(97173,97185) = ( 97173 × 97185) / 3
LCM(97173,97185) = 9443758005 / 3
LCM(97173,97185) = 3147919335
Least Common Multiple (LCM) of 97173 and 97185 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 97173 and 97185. First we will calculate the prime factors of 97173 and 97185.
Prime Factorization of 97173
Prime factors of 97173 are 3, 59, 61. Prime factorization of 97173 in exponential form is:
97173 = 33 × 591 × 611
Prime Factorization of 97185
Prime factors of 97185 are 3, 5, 11, 19, 31. Prime factorization of 97185 in exponential form is:
97185 = 31 × 51 × 111 × 191 × 311
Now multiplying the highest exponent prime factors to calculate the LCM of 97173 and 97185.
LCM(97173,97185) = 33 × 591 × 611 × 51 × 111 × 191 × 311
LCM(97173,97185) = 3147919335
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