What is the Least Common Multiple of 91063 and 91083?
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 91063 and 91083 is 8294291229.
LCM(91063,91083) = 8294291229
Least Common Multiple of 91063 and 91083 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91063 and 91083, than apply into the LCM equation.
GCF(91063,91083) = 1
LCM(91063,91083) = ( 91063 × 91083) / 1
LCM(91063,91083) = 8294291229 / 1
LCM(91063,91083) = 8294291229
Least Common Multiple (LCM) of 91063 and 91083 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 91063 and 91083. First we will calculate the prime factors of 91063 and 91083.
Prime Factorization of 91063
Prime factors of 91063 are 7, 13009. Prime factorization of 91063 in exponential form is:
91063 = 71 × 130091
Prime Factorization of 91083
Prime factors of 91083 are 3, 97, 313. Prime factorization of 91083 in exponential form is:
91083 = 31 × 971 × 3131
Now multiplying the highest exponent prime factors to calculate the LCM of 91063 and 91083.
LCM(91063,91083) = 71 × 130091 × 31 × 971 × 3131
LCM(91063,91083) = 8294291229
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