What is the Least Common Multiple of 80413 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 80413 and 80418 is 6466652634.
LCM(80413,80418) = 6466652634
Least Common Multiple of 80413 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 80413 and 80418, than apply into the LCM equation.
GCF(80413,80418) = 1
LCM(80413,80418) = ( 80413 × 80418) / 1
LCM(80413,80418) = 6466652634 / 1
LCM(80413,80418) = 6466652634
Least Common Multiple (LCM) of 80413 and 80418 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 80413 and 80418. First we will calculate the prime factors of 80413 and 80418.
Prime Factorization of 80413
Prime factors of 80413 are 97, 829. Prime factorization of 80413 in exponential form is:
80413 = 971 × 8291
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 80413 and 80418.
LCM(80413,80418) = 971 × 8291 × 21 × 31 × 131 × 10311
LCM(80413,80418) = 6466652634
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