What is the Least Common Multiple of 80864 and 80880?

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 80864 and 80880 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80864 and 80880, than apply into the LCM equation.

GCF(80864,80880) = 16
LCM(80864,80880) = ( 80864 × 80880) / 16
LCM(80864,80880) = 6540280320 / 16
LCM(80864,80880) = 408767520

Least Common Multiple (LCM) of 80864 and 80880 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80864 and 80880. First we will calculate the prime factors of 80864 and 80880.

Prime Factorization of 80864

Prime Factorization of 80880

Now multiplying the highest exponent prime factors to calculate the LCM of 80864 and 80880.

LCM(80864,80880) = 2⁵ × 7¹ × 19² × 3¹ × 5¹ × 337¹
LCM(80864,80880) = 408767520