What is the Least Common Multiple of 91055 and 91063?
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 91055 and 91063 is 8291741465.
LCM(91055,91063) = 8291741465
Least Common Multiple of 91055 and 91063 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91055 and 91063, than apply into the LCM equation.
GCF(91055,91063) = 1
LCM(91055,91063) = ( 91055 × 91063) / 1
LCM(91055,91063) = 8291741465 / 1
LCM(91055,91063) = 8291741465
Least Common Multiple (LCM) of 91055 and 91063 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 91055 and 91063. First we will calculate the prime factors of 91055 and 91063.
Prime Factorization of 91055
Prime factors of 91055 are 5, 18211. Prime factorization of 91055 in exponential form is:
91055 = 51 × 182111
Prime Factorization of 91063
Prime factors of 91063 are 7, 13009. Prime factorization of 91063 in exponential form is:
91063 = 71 × 130091
Now multiplying the highest exponent prime factors to calculate the LCM of 91055 and 91063.
LCM(91055,91063) = 51 × 182111 × 71 × 130091
LCM(91055,91063) = 8291741465
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