What is the Least Common Multiple of 80860 and 80872?

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 80860 and 80872 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80860 and 80872, than apply into the LCM equation.

GCF(80860,80872) = 4
LCM(80860,80872) = ( 80860 × 80872) / 4
LCM(80860,80872) = 6539309920 / 4
LCM(80860,80872) = 1634827480

Least Common Multiple (LCM) of 80860 and 80872 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80860 and 80872. First we will calculate the prime factors of 80860 and 80872.

Prime Factorization of 80860

Prime Factorization of 80872

Now multiplying the highest exponent prime factors to calculate the LCM of 80860 and 80872.

LCM(80860,80872) = 2³ × 5¹ × 13¹ × 311¹ × 11¹ × 919¹
LCM(80860,80872) = 1634827480