What is the Least Common Multiple of 68685 and 68697?
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 68685 and 68697 is 1572817815.
LCM(68685,68697) = 1572817815
Least Common Multiple of 68685 and 68697 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68685 and 68697, than apply into the LCM equation.
GCF(68685,68697) = 3
LCM(68685,68697) = ( 68685 × 68697) / 3
LCM(68685,68697) = 4718453445 / 3
LCM(68685,68697) = 1572817815
Least Common Multiple (LCM) of 68685 and 68697 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 68685 and 68697. First we will calculate the prime factors of 68685 and 68697.
Prime Factorization of 68685
Prime factors of 68685 are 3, 5, 19, 241. Prime factorization of 68685 in exponential form is:
68685 = 31 × 51 × 191 × 2411
Prime Factorization of 68697
Prime factors of 68697 are 3, 17, 449. Prime factorization of 68697 in exponential form is:
68697 = 32 × 171 × 4491
Now multiplying the highest exponent prime factors to calculate the LCM of 68685 and 68697.
LCM(68685,68697) = 32 × 51 × 191 × 2411 × 171 × 4491
LCM(68685,68697) = 1572817815
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