What is the Least Common Multiple of 96323 and 96331?
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 96323 and 96331 is 9278890913.
LCM(96323,96331) = 9278890913
Least Common Multiple of 96323 and 96331 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96323 and 96331, than apply into the LCM equation.
GCF(96323,96331) = 1
LCM(96323,96331) = ( 96323 × 96331) / 1
LCM(96323,96331) = 9278890913 / 1
LCM(96323,96331) = 9278890913
Least Common Multiple (LCM) of 96323 and 96331 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 96323 and 96331. First we will calculate the prime factors of 96323 and 96331.
Prime Factorization of 96323
Prime factors of 96323 are 96323. Prime factorization of 96323 in exponential form is:
96323 = 963231
Prime Factorization of 96331
Prime factors of 96331 are 96331. Prime factorization of 96331 in exponential form is:
96331 = 963311
Now multiplying the highest exponent prime factors to calculate the LCM of 96323 and 96331.
LCM(96323,96331) = 963231 × 963311
LCM(96323,96331) = 9278890913
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