What is the Least Common Multiple of 91169 and 91187?
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 91169 and 91187 is 8313427603.
LCM(91169,91187) = 8313427603
Least Common Multiple of 91169 and 91187 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91169 and 91187, than apply into the LCM equation.
GCF(91169,91187) = 1
LCM(91169,91187) = ( 91169 × 91187) / 1
LCM(91169,91187) = 8313427603 / 1
LCM(91169,91187) = 8313427603
Least Common Multiple (LCM) of 91169 and 91187 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 91169 and 91187. First we will calculate the prime factors of 91169 and 91187.
Prime Factorization of 91169
Prime factors of 91169 are 13, 7013. Prime factorization of 91169 in exponential form is:
91169 = 131 × 70131
Prime Factorization of 91187
Prime factors of 91187 are 67, 1361. Prime factorization of 91187 in exponential form is:
91187 = 671 × 13611
Now multiplying the highest exponent prime factors to calculate the LCM of 91169 and 91187.
LCM(91169,91187) = 131 × 70131 × 671 × 13611
LCM(91169,91187) = 8313427603
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