What is the Least Common Multiple of 80414 and 80421?

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 of 80414 and 80421 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80414 and 80421, than apply into the LCM equation.

GCF(80414,80421) = 1
LCM(80414,80421) = ( 80414 × 80421) / 1
LCM(80414,80421) = 6466974294 / 1
LCM(80414,80421) = 6466974294

Least Common Multiple (LCM) of 80414 and 80421 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80414 and 80421. First we will calculate the prime factors of 80414 and 80421.

Prime Factorization of 80414

Prime Factorization of 80421

Now multiplying the highest exponent prime factors to calculate the LCM of 80414 and 80421.

LCM(80414,80421) = 2¹ × 31¹ × 1297¹ × 3¹ × 11¹ × 2437¹
LCM(80414,80421) = 6466974294