What is the Least Common Multiple of 86557 and 86563?
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 86557 and 86563 is 7492633591.
LCM(86557,86563) = 7492633591
Least Common Multiple of 86557 and 86563 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86557 and 86563, than apply into the LCM equation.
GCF(86557,86563) = 1
LCM(86557,86563) = ( 86557 × 86563) / 1
LCM(86557,86563) = 7492633591 / 1
LCM(86557,86563) = 7492633591
Least Common Multiple (LCM) of 86557 and 86563 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 86557 and 86563. First we will calculate the prime factors of 86557 and 86563.
Prime Factorization of 86557
Prime factors of 86557 are 101, 857. Prime factorization of 86557 in exponential form is:
86557 = 1011 × 8571
Prime Factorization of 86563
Prime factors of 86563 are 107, 809. Prime factorization of 86563 in exponential form is:
86563 = 1071 × 8091
Now multiplying the highest exponent prime factors to calculate the LCM of 86557 and 86563.
LCM(86557,86563) = 1011 × 8571 × 1071 × 8091
LCM(86557,86563) = 7492633591
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