What is the Least Common Multiple of 91047 and 91051?
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 91047 and 91051 is 8289920397.
LCM(91047,91051) = 8289920397
Least Common Multiple of 91047 and 91051 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91047 and 91051, than apply into the LCM equation.
GCF(91047,91051) = 1
LCM(91047,91051) = ( 91047 × 91051) / 1
LCM(91047,91051) = 8289920397 / 1
LCM(91047,91051) = 8289920397
Least Common Multiple (LCM) of 91047 and 91051 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 91047 and 91051. First we will calculate the prime factors of 91047 and 91051.
Prime Factorization of 91047
Prime factors of 91047 are 3, 11, 31, 89. Prime factorization of 91047 in exponential form is:
91047 = 31 × 111 × 311 × 891
Prime Factorization of 91051
Prime factors of 91051 are 83, 1097. Prime factorization of 91051 in exponential form is:
91051 = 831 × 10971
Now multiplying the highest exponent prime factors to calculate the LCM of 91047 and 91051.
LCM(91047,91051) = 31 × 111 × 311 × 891 × 831 × 10971
LCM(91047,91051) = 8289920397
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