What is the Least Common Multiple of 67085 and 67090?
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 67085 and 67090 is 900146530.
LCM(67085,67090) = 900146530
Least Common Multiple of 67085 and 67090 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67085 and 67090, than apply into the LCM equation.
GCF(67085,67090) = 5
LCM(67085,67090) = ( 67085 × 67090) / 5
LCM(67085,67090) = 4500732650 / 5
LCM(67085,67090) = 900146530
Least Common Multiple (LCM) of 67085 and 67090 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 67085 and 67090. First we will calculate the prime factors of 67085 and 67090.
Prime Factorization of 67085
Prime factors of 67085 are 5, 13417. Prime factorization of 67085 in exponential form is:
67085 = 51 × 134171
Prime Factorization of 67090
Prime factors of 67090 are 2, 5, 6709. Prime factorization of 67090 in exponential form is:
67090 = 21 × 51 × 67091
Now multiplying the highest exponent prime factors to calculate the LCM of 67085 and 67090.
LCM(67085,67090) = 51 × 134171 × 21 × 67091
LCM(67085,67090) = 900146530
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