What is the Least Common Multiple of 30880 and 30889?

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 30880 and 30889 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30880 and 30889, than apply into the LCM equation.

GCF(30880,30889) = 1
LCM(30880,30889) = ( 30880 × 30889) / 1
LCM(30880,30889) = 953852320 / 1
LCM(30880,30889) = 953852320

Least Common Multiple (LCM) of 30880 and 30889 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30880 and 30889. First we will calculate the prime factors of 30880 and 30889.

Prime Factorization of 30880

Prime Factorization of 30889

Now multiplying the highest exponent prime factors to calculate the LCM of 30880 and 30889.

LCM(30880,30889) = 2⁵ × 5¹ × 193¹ × 17¹ × 23¹ × 79¹
LCM(30880,30889) = 953852320