What is the Least Common Multiple of 80584 and 80598?

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 80584 and 80598 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80584 and 80598, than apply into the LCM equation.

GCF(80584,80598) = 14
LCM(80584,80598) = ( 80584 × 80598) / 14
LCM(80584,80598) = 6494909232 / 14
LCM(80584,80598) = 463922088

Least Common Multiple (LCM) of 80584 and 80598 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80584 and 80598. First we will calculate the prime factors of 80584 and 80598.

Prime Factorization of 80584

Prime Factorization of 80598

Now multiplying the highest exponent prime factors to calculate the LCM of 80584 and 80598.

LCM(80584,80598) = 2³ × 7¹ × 1439¹ × 3¹ × 19¹ × 101¹
LCM(80584,80598) = 463922088