What is the Least Common Multiple of 80278 and 80298?

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 80278 and 80298 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80278 and 80298, than apply into the LCM equation.

GCF(80278,80298) = 2
LCM(80278,80298) = ( 80278 × 80298) / 2
LCM(80278,80298) = 6446162844 / 2
LCM(80278,80298) = 3223081422

Least Common Multiple (LCM) of 80278 and 80298 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80278 and 80298. First we will calculate the prime factors of 80278 and 80298.

Prime Factorization of 80278

Prime Factorization of 80298

Now multiplying the highest exponent prime factors to calculate the LCM of 80278 and 80298.

LCM(80278,80298) = 2¹ × 11¹ × 41¹ × 89¹ × 3³ × 1487¹
LCM(80278,80298) = 3223081422