What is the Least Common Multiple of 68704 and 68717?
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 68704 and 68717 is 4721132768.
LCM(68704,68717) = 4721132768
Least Common Multiple of 68704 and 68717 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68704 and 68717, than apply into the LCM equation.
GCF(68704,68717) = 1
LCM(68704,68717) = ( 68704 × 68717) / 1
LCM(68704,68717) = 4721132768 / 1
LCM(68704,68717) = 4721132768
Least Common Multiple (LCM) of 68704 and 68717 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 68704 and 68717. First we will calculate the prime factors of 68704 and 68717.
Prime Factorization of 68704
Prime factors of 68704 are 2, 19, 113. Prime factorization of 68704 in exponential form is:
68704 = 25 × 191 × 1131
Prime Factorization of 68717
Prime factors of 68717 are 11, 6247. Prime factorization of 68717 in exponential form is:
68717 = 111 × 62471
Now multiplying the highest exponent prime factors to calculate the LCM of 68704 and 68717.
LCM(68704,68717) = 25 × 191 × 1131 × 111 × 62471
LCM(68704,68717) = 4721132768
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