What is the Least Common Multiple of 9163 and 9169?
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 9163 and 9169 is 84015547.
LCM(9163,9169) = 84015547
Least Common Multiple of 9163 and 9169 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9163 and 9169, than apply into the LCM equation.
GCF(9163,9169) = 1
LCM(9163,9169) = ( 9163 × 9169) / 1
LCM(9163,9169) = 84015547 / 1
LCM(9163,9169) = 84015547
Least Common Multiple (LCM) of 9163 and 9169 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 9163 and 9169. First we will calculate the prime factors of 9163 and 9169.
Prime Factorization of 9163
Prime factors of 9163 are 7, 11, 17. Prime factorization of 9163 in exponential form is:
9163 = 72 × 111 × 171
Prime Factorization of 9169
Prime factors of 9169 are 53, 173. Prime factorization of 9169 in exponential form is:
9169 = 531 × 1731
Now multiplying the highest exponent prime factors to calculate the LCM of 9163 and 9169.
LCM(9163,9169) = 72 × 111 × 171 × 531 × 1731
LCM(9163,9169) = 84015547
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