What is the Least Common Multiple of 80234 and 80248?

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 80234 and 80248 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80234 and 80248, than apply into the LCM equation.

GCF(80234,80248) = 14
LCM(80234,80248) = ( 80234 × 80248) / 14
LCM(80234,80248) = 6438618032 / 14
LCM(80234,80248) = 459901288

Least Common Multiple (LCM) of 80234 and 80248 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80234 and 80248. First we will calculate the prime factors of 80234 and 80248.

Prime Factorization of 80234

Prime Factorization of 80248

Now multiplying the highest exponent prime factors to calculate the LCM of 80234 and 80248.

LCM(80234,80248) = 2³ × 7¹ × 11¹ × 521¹ × 1433¹
LCM(80234,80248) = 459901288