What is the Least Common Multiple of 67009 and 67017?
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 67009 and 67017 is 4490742153.
LCM(67009,67017) = 4490742153
Least Common Multiple of 67009 and 67017 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67009 and 67017, than apply into the LCM equation.
GCF(67009,67017) = 1
LCM(67009,67017) = ( 67009 × 67017) / 1
LCM(67009,67017) = 4490742153 / 1
LCM(67009,67017) = 4490742153
Least Common Multiple (LCM) of 67009 and 67017 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 67009 and 67017. First we will calculate the prime factors of 67009 and 67017.
Prime Factorization of 67009
Prime factors of 67009 are 113, 593. Prime factorization of 67009 in exponential form is:
67009 = 1131 × 5931
Prime Factorization of 67017
Prime factors of 67017 are 3, 89, 251. Prime factorization of 67017 in exponential form is:
67017 = 31 × 891 × 2511
Now multiplying the highest exponent prime factors to calculate the LCM of 67009 and 67017.
LCM(67009,67017) = 1131 × 5931 × 31 × 891 × 2511
LCM(67009,67017) = 4490742153
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