What is the Least Common Multiple of 87163 and 87169?
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 87163 and 87169 is 7597911547.
LCM(87163,87169) = 7597911547
Least Common Multiple of 87163 and 87169 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87163 and 87169, than apply into the LCM equation.
GCF(87163,87169) = 1
LCM(87163,87169) = ( 87163 × 87169) / 1
LCM(87163,87169) = 7597911547 / 1
LCM(87163,87169) = 7597911547
Least Common Multiple (LCM) of 87163 and 87169 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 87163 and 87169. First we will calculate the prime factors of 87163 and 87169.
Prime Factorization of 87163
Prime factors of 87163 are 101, 863. Prime factorization of 87163 in exponential form is:
87163 = 1011 × 8631
Prime Factorization of 87169
Prime factors of 87169 are 61, 1429. Prime factorization of 87169 in exponential form is:
87169 = 611 × 14291
Now multiplying the highest exponent prime factors to calculate the LCM of 87163 and 87169.
LCM(87163,87169) = 1011 × 8631 × 611 × 14291
LCM(87163,87169) = 7597911547
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