What is the Least Common Multiple of 96065 and 96079?
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 96065 and 96079 is 9229829135.
LCM(96065,96079) = 9229829135
Least Common Multiple of 96065 and 96079 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96065 and 96079, than apply into the LCM equation.
GCF(96065,96079) = 1
LCM(96065,96079) = ( 96065 × 96079) / 1
LCM(96065,96079) = 9229829135 / 1
LCM(96065,96079) = 9229829135
Least Common Multiple (LCM) of 96065 and 96079 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 96065 and 96079. First we will calculate the prime factors of 96065 and 96079.
Prime Factorization of 96065
Prime factors of 96065 are 5, 19213. Prime factorization of 96065 in exponential form is:
96065 = 51 × 192131
Prime Factorization of 96079
Prime factors of 96079 are 96079. Prime factorization of 96079 in exponential form is:
96079 = 960791
Now multiplying the highest exponent prime factors to calculate the LCM of 96065 and 96079.
LCM(96065,96079) = 51 × 192131 × 960791
LCM(96065,96079) = 9229829135
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