What is the Least Common Multiple of 71115 and 71133?
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 71115 and 71133 is 1686207765.
LCM(71115,71133) = 1686207765
Least Common Multiple of 71115 and 71133 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71115 and 71133, than apply into the LCM equation.
GCF(71115,71133) = 3
LCM(71115,71133) = ( 71115 × 71133) / 3
LCM(71115,71133) = 5058623295 / 3
LCM(71115,71133) = 1686207765
Least Common Multiple (LCM) of 71115 and 71133 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 71115 and 71133. First we will calculate the prime factors of 71115 and 71133.
Prime Factorization of 71115
Prime factors of 71115 are 3, 5, 11, 431. Prime factorization of 71115 in exponential form is:
71115 = 31 × 51 × 111 × 4311
Prime Factorization of 71133
Prime factors of 71133 are 3, 131, 181. Prime factorization of 71133 in exponential form is:
71133 = 31 × 1311 × 1811
Now multiplying the highest exponent prime factors to calculate the LCM of 71115 and 71133.
LCM(71115,71133) = 31 × 51 × 111 × 4311 × 1311 × 1811
LCM(71115,71133) = 1686207765
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