What is the Least Common Multiple of 91027 and 91047?
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 91027 and 91047 is 8287735269.
LCM(91027,91047) = 8287735269
Least Common Multiple of 91027 and 91047 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91027 and 91047, than apply into the LCM equation.
GCF(91027,91047) = 1
LCM(91027,91047) = ( 91027 × 91047) / 1
LCM(91027,91047) = 8287735269 / 1
LCM(91027,91047) = 8287735269
Least Common Multiple (LCM) of 91027 and 91047 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 91027 and 91047. First we will calculate the prime factors of 91027 and 91047.
Prime Factorization of 91027
Prime factors of 91027 are 227, 401. Prime factorization of 91027 in exponential form is:
91027 = 2271 × 4011
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
Now multiplying the highest exponent prime factors to calculate the LCM of 91027 and 91047.
LCM(91027,91047) = 2271 × 4011 × 31 × 111 × 311 × 891
LCM(91027,91047) = 8287735269
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