What is the Least Common Multiple of 80278 and 80288?

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 80288 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 80288, than apply into the LCM equation.

GCF(80278,80288) = 2
LCM(80278,80288) = ( 80278 × 80288) / 2
LCM(80278,80288) = 6445360064 / 2
LCM(80278,80288) = 3222680032

Least Common Multiple (LCM) of 80278 and 80288 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80278 and 80288. First we will calculate the prime factors of 80278 and 80288.

Prime Factorization of 80278

Prime Factorization of 80288

Now multiplying the highest exponent prime factors to calculate the LCM of 80278 and 80288.

LCM(80278,80288) = 2⁵ × 11¹ × 41¹ × 89¹ × 13¹ × 193¹
LCM(80278,80288) = 3222680032