What is the Least Common Multiple of 96231 and 96241?
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 96231 and 96241 is 9261367671.
LCM(96231,96241) = 9261367671
Least Common Multiple of 96231 and 96241 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96231 and 96241, than apply into the LCM equation.
GCF(96231,96241) = 1
LCM(96231,96241) = ( 96231 × 96241) / 1
LCM(96231,96241) = 9261367671 / 1
LCM(96231,96241) = 9261367671
Least Common Multiple (LCM) of 96231 and 96241 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 96231 and 96241. First we will calculate the prime factors of 96231 and 96241.
Prime Factorization of 96231
Prime factors of 96231 are 3, 32077. Prime factorization of 96231 in exponential form is:
96231 = 31 × 320771
Prime Factorization of 96241
Prime factors of 96241 are 157, 613. Prime factorization of 96241 in exponential form is:
96241 = 1571 × 6131
Now multiplying the highest exponent prime factors to calculate the LCM of 96231 and 96241.
LCM(96231,96241) = 31 × 320771 × 1571 × 6131
LCM(96231,96241) = 9261367671
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