What is the Least Common Multiple of 8714 and 8721?
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 8714 and 8721 is 75994794.
LCM(8714,8721) = 75994794
Least Common Multiple of 8714 and 8721 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8714 and 8721, than apply into the LCM equation.
GCF(8714,8721) = 1
LCM(8714,8721) = ( 8714 × 8721) / 1
LCM(8714,8721) = 75994794 / 1
LCM(8714,8721) = 75994794
Least Common Multiple (LCM) of 8714 and 8721 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 8714 and 8721. First we will calculate the prime factors of 8714 and 8721.
Prime Factorization of 8714
Prime factors of 8714 are 2, 4357. Prime factorization of 8714 in exponential form is:
8714 = 21 × 43571
Prime Factorization of 8721
Prime factors of 8721 are 3, 17, 19. Prime factorization of 8721 in exponential form is:
8721 = 33 × 171 × 191
Now multiplying the highest exponent prime factors to calculate the LCM of 8714 and 8721.
LCM(8714,8721) = 21 × 43571 × 33 × 171 × 191
LCM(8714,8721) = 75994794
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