What is the Least Common Multiple of 91073 and 91089?
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 91073 and 91089 is 8295748497.
LCM(91073,91089) = 8295748497
Least Common Multiple of 91073 and 91089 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91073 and 91089, than apply into the LCM equation.
GCF(91073,91089) = 1
LCM(91073,91089) = ( 91073 × 91089) / 1
LCM(91073,91089) = 8295748497 / 1
LCM(91073,91089) = 8295748497
Least Common Multiple (LCM) of 91073 and 91089 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 91073 and 91089. First we will calculate the prime factors of 91073 and 91089.
Prime Factorization of 91073
Prime factors of 91073 are 61, 1493. Prime factorization of 91073 in exponential form is:
91073 = 611 × 14931
Prime Factorization of 91089
Prime factors of 91089 are 3, 29, 349. Prime factorization of 91089 in exponential form is:
91089 = 32 × 291 × 3491
Now multiplying the highest exponent prime factors to calculate the LCM of 91073 and 91089.
LCM(91073,91089) = 611 × 14931 × 32 × 291 × 3491
LCM(91073,91089) = 8295748497
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