What is the Least Common Multiple of 80485 and 80491?
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 80485 and 80491 is 6478318135.
LCM(80485,80491) = 6478318135
Least Common Multiple of 80485 and 80491 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80485 and 80491, than apply into the LCM equation.
GCF(80485,80491) = 1
LCM(80485,80491) = ( 80485 × 80491) / 1
LCM(80485,80491) = 6478318135 / 1
LCM(80485,80491) = 6478318135
Least Common Multiple (LCM) of 80485 and 80491 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 80485 and 80491. First we will calculate the prime factors of 80485 and 80491.
Prime Factorization of 80485
Prime factors of 80485 are 5, 16097. Prime factorization of 80485 in exponential form is:
80485 = 51 × 160971
Prime Factorization of 80491
Prime factors of 80491 are 80491. Prime factorization of 80491 in exponential form is:
80491 = 804911
Now multiplying the highest exponent prime factors to calculate the LCM of 80485 and 80491.
LCM(80485,80491) = 51 × 160971 × 804911
LCM(80485,80491) = 6478318135
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