What is the Least Common Multiple of 91913 and 91917?
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 91913 and 91917 is 8448367221.
LCM(91913,91917) = 8448367221
Least Common Multiple of 91913 and 91917 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91913 and 91917, than apply into the LCM equation.
GCF(91913,91917) = 1
LCM(91913,91917) = ( 91913 × 91917) / 1
LCM(91913,91917) = 8448367221 / 1
LCM(91913,91917) = 8448367221
Least Common Multiple (LCM) of 91913 and 91917 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 91913 and 91917. First we will calculate the prime factors of 91913 and 91917.
Prime Factorization of 91913
Prime factors of 91913 are 107, 859. Prime factorization of 91913 in exponential form is:
91913 = 1071 × 8591
Prime Factorization of 91917
Prime factors of 91917 are 3, 7, 1459. Prime factorization of 91917 in exponential form is:
91917 = 32 × 71 × 14591
Now multiplying the highest exponent prime factors to calculate the LCM of 91913 and 91917.
LCM(91913,91917) = 1071 × 8591 × 32 × 71 × 14591
LCM(91913,91917) = 8448367221
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