What is the Least Common Multiple of 80258 and 80278?

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 80258 and 80278 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80258 and 80278, than apply into the LCM equation.

GCF(80258,80278) = 2
LCM(80258,80278) = ( 80258 × 80278) / 2
LCM(80258,80278) = 6442951724 / 2
LCM(80258,80278) = 3221475862

Least Common Multiple (LCM) of 80258 and 80278 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80258 and 80278. First we will calculate the prime factors of 80258 and 80278.

Prime Factorization of 80258

Prime Factorization of 80278

Now multiplying the highest exponent prime factors to calculate the LCM of 80258 and 80278.

LCM(80258,80278) = 2¹ × 40129¹ × 11¹ × 41¹ × 89¹
LCM(80258,80278) = 3221475862