What is the Least Common Multiple of 80880 and 80889?

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 80880 and 80889 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80880 and 80889, than apply into the LCM equation.

GCF(80880,80889) = 3
LCM(80880,80889) = ( 80880 × 80889) / 3
LCM(80880,80889) = 6542302320 / 3
LCM(80880,80889) = 2180767440

Least Common Multiple (LCM) of 80880 and 80889 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80880 and 80889. First we will calculate the prime factors of 80880 and 80889.

Prime Factorization of 80880

Prime Factorization of 80889

Now multiplying the highest exponent prime factors to calculate the LCM of 80880 and 80889.

LCM(80880,80889) = 2⁴ × 3¹ × 5¹ × 337¹ × 59¹ × 457¹
LCM(80880,80889) = 2180767440