What is the Least Common Multiple of 8587 and 8599?
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 8587 and 8599 is 73839613.
LCM(8587,8599) = 73839613
Least Common Multiple of 8587 and 8599 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8587 and 8599, than apply into the LCM equation.
GCF(8587,8599) = 1
LCM(8587,8599) = ( 8587 × 8599) / 1
LCM(8587,8599) = 73839613 / 1
LCM(8587,8599) = 73839613
Least Common Multiple (LCM) of 8587 and 8599 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 8587 and 8599. First we will calculate the prime factors of 8587 and 8599.
Prime Factorization of 8587
Prime factors of 8587 are 31, 277. Prime factorization of 8587 in exponential form is:
8587 = 311 × 2771
Prime Factorization of 8599
Prime factors of 8599 are 8599. Prime factorization of 8599 in exponential form is:
8599 = 85991
Now multiplying the highest exponent prime factors to calculate the LCM of 8587 and 8599.
LCM(8587,8599) = 311 × 2771 × 85991
LCM(8587,8599) = 73839613
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