What is the Least Common Multiple of 83880 and 83889?

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 83880 and 83889 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83880 and 83889, than apply into the LCM equation.

GCF(83880,83889) = 9
LCM(83880,83889) = ( 83880 × 83889) / 9
LCM(83880,83889) = 7036609320 / 9
LCM(83880,83889) = 781845480

Least Common Multiple (LCM) of 83880 and 83889 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83880 and 83889. First we will calculate the prime factors of 83880 and 83889.

Prime Factorization of 83880

Prime Factorization of 83889

Now multiplying the highest exponent prime factors to calculate the LCM of 83880 and 83889.

LCM(83880,83889) = 2³ × 3³ × 5¹ × 233¹ × 13¹ × 239¹
LCM(83880,83889) = 781845480