What is the Least Common Multiple of 93713 and 93718?
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 93713 and 93718 is 8782594934.
LCM(93713,93718) = 8782594934
Least Common Multiple of 93713 and 93718 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93713 and 93718, than apply into the LCM equation.
GCF(93713,93718) = 1
LCM(93713,93718) = ( 93713 × 93718) / 1
LCM(93713,93718) = 8782594934 / 1
LCM(93713,93718) = 8782594934
Least Common Multiple (LCM) of 93713 and 93718 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93713 and 93718. First we will calculate the prime factors of 93713 and 93718.
Prime Factorization of 93713
Prime factors of 93713 are 31, 3023. Prime factorization of 93713 in exponential form is:
93713 = 311 × 30231
Prime Factorization of 93718
Prime factors of 93718 are 2, 47, 997. Prime factorization of 93718 in exponential form is:
93718 = 21 × 471 × 9971
Now multiplying the highest exponent prime factors to calculate the LCM of 93713 and 93718.
LCM(93713,93718) = 311 × 30231 × 21 × 471 × 9971
LCM(93713,93718) = 8782594934
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