What is the Least Common Multiple of 91115 and 91122?
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 91115 and 91122 is 8302581030.
LCM(91115,91122) = 8302581030
Least Common Multiple of 91115 and 91122 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91115 and 91122, than apply into the LCM equation.
GCF(91115,91122) = 1
LCM(91115,91122) = ( 91115 × 91122) / 1
LCM(91115,91122) = 8302581030 / 1
LCM(91115,91122) = 8302581030
Least Common Multiple (LCM) of 91115 and 91122 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 91115 and 91122. First we will calculate the prime factors of 91115 and 91122.
Prime Factorization of 91115
Prime factors of 91115 are 5, 18223. Prime factorization of 91115 in exponential form is:
91115 = 51 × 182231
Prime Factorization of 91122
Prime factors of 91122 are 2, 3, 15187. Prime factorization of 91122 in exponential form is:
91122 = 21 × 31 × 151871
Now multiplying the highest exponent prime factors to calculate the LCM of 91115 and 91122.
LCM(91115,91122) = 51 × 182231 × 21 × 31 × 151871
LCM(91115,91122) = 8302581030
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