What is the Least Common Multiple of 68685 and 68690?
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 68690 is 943594530.
LCM(68685,68690) = 943594530
Least Common Multiple of 68685 and 68690 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 68690, than apply into the LCM equation.
GCF(68685,68690) = 5
LCM(68685,68690) = ( 68685 × 68690) / 5
LCM(68685,68690) = 4717972650 / 5
LCM(68685,68690) = 943594530
Least Common Multiple (LCM) of 68685 and 68690 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 68685 and 68690. First we will calculate the prime factors of 68685 and 68690.
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 68690
Prime factors of 68690 are 2, 5, 6869. Prime factorization of 68690 in exponential form is:
68690 = 21 × 51 × 68691
Now multiplying the highest exponent prime factors to calculate the LCM of 68685 and 68690.
LCM(68685,68690) = 31 × 51 × 191 × 2411 × 21 × 68691
LCM(68685,68690) = 943594530
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