What is the Least Common Multiple of 80584 and 80602?

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 80602 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 80602, than apply into the LCM equation.

GCF(80584,80602) = 2
LCM(80584,80602) = ( 80584 × 80602) / 2
LCM(80584,80602) = 6495231568 / 2
LCM(80584,80602) = 3247615784

Least Common Multiple (LCM) of 80584 and 80602 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80584 and 80602. First we will calculate the prime factors of 80584 and 80602.

Prime Factorization of 80584

Prime Factorization of 80602

Now multiplying the highest exponent prime factors to calculate the LCM of 80584 and 80602.

LCM(80584,80602) = 2³ × 7¹ × 1439¹ × 191¹ × 211¹
LCM(80584,80602) = 3247615784