What is the Least Common Multiple of 80497 and 80513?
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 80497 and 80513 is 6481054961.
LCM(80497,80513) = 6481054961
Least Common Multiple of 80497 and 80513 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80497 and 80513, than apply into the LCM equation.
GCF(80497,80513) = 1
LCM(80497,80513) = ( 80497 × 80513) / 1
LCM(80497,80513) = 6481054961 / 1
LCM(80497,80513) = 6481054961
Least Common Multiple (LCM) of 80497 and 80513 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 80497 and 80513. First we will calculate the prime factors of 80497 and 80513.
Prime Factorization of 80497
Prime factors of 80497 are 101, 797. Prime factorization of 80497 in exponential form is:
80497 = 1011 × 7971
Prime Factorization of 80513
Prime factors of 80513 are 80513. Prime factorization of 80513 in exponential form is:
80513 = 805131
Now multiplying the highest exponent prime factors to calculate the LCM of 80497 and 80513.
LCM(80497,80513) = 1011 × 7971 × 805131
LCM(80497,80513) = 6481054961
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