What is the Least Common Multiple of 9173 and 9187?
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 9173 and 9187 is 84272351.
LCM(9173,9187) = 84272351
Least Common Multiple of 9173 and 9187 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9173 and 9187, than apply into the LCM equation.
GCF(9173,9187) = 1
LCM(9173,9187) = ( 9173 × 9187) / 1
LCM(9173,9187) = 84272351 / 1
LCM(9173,9187) = 84272351
Least Common Multiple (LCM) of 9173 and 9187 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 9173 and 9187. First we will calculate the prime factors of 9173 and 9187.
Prime Factorization of 9173
Prime factors of 9173 are 9173. Prime factorization of 9173 in exponential form is:
9173 = 91731
Prime Factorization of 9187
Prime factors of 9187 are 9187. Prime factorization of 9187 in exponential form is:
9187 = 91871
Now multiplying the highest exponent prime factors to calculate the LCM of 9173 and 9187.
LCM(9173,9187) = 91731 × 91871
LCM(9173,9187) = 84272351
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