What is the Least Common Multiple of 8713 and 8733?
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 8713 and 8733 is 76090629.
LCM(8713,8733) = 76090629
Least Common Multiple of 8713 and 8733 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8713 and 8733, than apply into the LCM equation.
GCF(8713,8733) = 1
LCM(8713,8733) = ( 8713 × 8733) / 1
LCM(8713,8733) = 76090629 / 1
LCM(8713,8733) = 76090629
Least Common Multiple (LCM) of 8713 and 8733 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 8713 and 8733. First we will calculate the prime factors of 8713 and 8733.
Prime Factorization of 8713
Prime factors of 8713 are 8713. Prime factorization of 8713 in exponential form is:
8713 = 87131
Prime Factorization of 8733
Prime factors of 8733 are 3, 41, 71. Prime factorization of 8733 in exponential form is:
8733 = 31 × 411 × 711
Now multiplying the highest exponent prime factors to calculate the LCM of 8713 and 8733.
LCM(8713,8733) = 87131 × 31 × 411 × 711
LCM(8713,8733) = 76090629
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