What is the Least Common Multiple of 91507 and 91523?
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 91507 and 91523 is 8374995161.
LCM(91507,91523) = 8374995161
Least Common Multiple of 91507 and 91523 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91507 and 91523, than apply into the LCM equation.
GCF(91507,91523) = 1
LCM(91507,91523) = ( 91507 × 91523) / 1
LCM(91507,91523) = 8374995161 / 1
LCM(91507,91523) = 8374995161
Least Common Multiple (LCM) of 91507 and 91523 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 91507 and 91523. First we will calculate the prime factors of 91507 and 91523.
Prime Factorization of 91507
Prime factors of 91507 are 13, 7039. Prime factorization of 91507 in exponential form is:
91507 = 131 × 70391
Prime Factorization of 91523
Prime factors of 91523 are 19, 4817. Prime factorization of 91523 in exponential form is:
91523 = 191 × 48171
Now multiplying the highest exponent prime factors to calculate the LCM of 91507 and 91523.
LCM(91507,91523) = 131 × 70391 × 191 × 48171
LCM(91507,91523) = 8374995161
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