What is the Least Common Multiple of 80399 and 80418?
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 80399 and 80418 is 6465526782.
LCM(80399,80418) = 6465526782
Least Common Multiple of 80399 and 80418 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80399 and 80418, than apply into the LCM equation.
GCF(80399,80418) = 1
LCM(80399,80418) = ( 80399 × 80418) / 1
LCM(80399,80418) = 6465526782 / 1
LCM(80399,80418) = 6465526782
Least Common Multiple (LCM) of 80399 and 80418 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 80399 and 80418. First we will calculate the prime factors of 80399 and 80418.
Prime Factorization of 80399
Prime factors of 80399 are 11, 7309. Prime factorization of 80399 in exponential form is:
80399 = 111 × 73091
Prime Factorization of 80418
Prime factors of 80418 are 2, 3, 13, 1031. Prime factorization of 80418 in exponential form is:
80418 = 21 × 31 × 131 × 10311
Now multiplying the highest exponent prime factors to calculate the LCM of 80399 and 80418.
LCM(80399,80418) = 111 × 73091 × 21 × 31 × 131 × 10311
LCM(80399,80418) = 6465526782
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