What is the Least Common Multiple of 71667 and 71685?
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 71667 and 71685 is 570827655.
LCM(71667,71685) = 570827655
Least Common Multiple of 71667 and 71685 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71667 and 71685, than apply into the LCM equation.
GCF(71667,71685) = 9
LCM(71667,71685) = ( 71667 × 71685) / 9
LCM(71667,71685) = 5137448895 / 9
LCM(71667,71685) = 570827655
Least Common Multiple (LCM) of 71667 and 71685 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 71667 and 71685. First we will calculate the prime factors of 71667 and 71685.
Prime Factorization of 71667
Prime factors of 71667 are 3, 7963. Prime factorization of 71667 in exponential form is:
71667 = 32 × 79631
Prime Factorization of 71685
Prime factors of 71685 are 3, 5, 59. Prime factorization of 71685 in exponential form is:
71685 = 35 × 51 × 591
Now multiplying the highest exponent prime factors to calculate the LCM of 71667 and 71685.
LCM(71667,71685) = 35 × 79631 × 51 × 591
LCM(71667,71685) = 570827655
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