What is the Least Common Multiple of 67073 and 67081?
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 67073 and 67081 is 4499323913.
LCM(67073,67081) = 4499323913
Least Common Multiple of 67073 and 67081 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67073 and 67081, than apply into the LCM equation.
GCF(67073,67081) = 1
LCM(67073,67081) = ( 67073 × 67081) / 1
LCM(67073,67081) = 4499323913 / 1
LCM(67073,67081) = 4499323913
Least Common Multiple (LCM) of 67073 and 67081 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 67073 and 67081. First we will calculate the prime factors of 67073 and 67081.
Prime Factorization of 67073
Prime factors of 67073 are 67073. Prime factorization of 67073 in exponential form is:
67073 = 670731
Prime Factorization of 67081
Prime factors of 67081 are 7, 37. Prime factorization of 67081 in exponential form is:
67081 = 72 × 372
Now multiplying the highest exponent prime factors to calculate the LCM of 67073 and 67081.
LCM(67073,67081) = 670731 × 72 × 372
LCM(67073,67081) = 4499323913
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