What is the Least Common Multiple of 26880 and 26889?

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 26880 and 26889 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26880 and 26889, than apply into the LCM equation.

GCF(26880,26889) = 3
LCM(26880,26889) = ( 26880 × 26889) / 3
LCM(26880,26889) = 722776320 / 3
LCM(26880,26889) = 240925440

Least Common Multiple (LCM) of 26880 and 26889 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26880 and 26889. First we will calculate the prime factors of 26880 and 26889.

Prime Factorization of 26880

Prime Factorization of 26889

Now multiplying the highest exponent prime factors to calculate the LCM of 26880 and 26889.

LCM(26880,26889) = 2⁸ × 3¹ × 5¹ × 7¹ × 8963¹
LCM(26880,26889) = 240925440