What is the Least Common Multiple of 68011 and 68018?
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 68011 and 68018 is 4625972198.
LCM(68011,68018) = 4625972198
Least Common Multiple of 68011 and 68018 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68011 and 68018, than apply into the LCM equation.
GCF(68011,68018) = 1
LCM(68011,68018) = ( 68011 × 68018) / 1
LCM(68011,68018) = 4625972198 / 1
LCM(68011,68018) = 4625972198
Least Common Multiple (LCM) of 68011 and 68018 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 68011 and 68018. First we will calculate the prime factors of 68011 and 68018.
Prime Factorization of 68011
Prime factors of 68011 are 23, 2957. Prime factorization of 68011 in exponential form is:
68011 = 231 × 29571
Prime Factorization of 68018
Prime factors of 68018 are 2, 71, 479. Prime factorization of 68018 in exponential form is:
68018 = 21 × 711 × 4791
Now multiplying the highest exponent prime factors to calculate the LCM of 68011 and 68018.
LCM(68011,68018) = 231 × 29571 × 21 × 711 × 4791
LCM(68011,68018) = 4625972198
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