What is the Least Common Multiple of 26835 and 26840?

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 26835 and 26840 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26835 and 26840, than apply into the LCM equation.

GCF(26835,26840) = 5
LCM(26835,26840) = ( 26835 × 26840) / 5
LCM(26835,26840) = 720251400 / 5
LCM(26835,26840) = 144050280

Least Common Multiple (LCM) of 26835 and 26840 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26835 and 26840. First we will calculate the prime factors of 26835 and 26840.

Prime Factorization of 26835

Prime Factorization of 26840

Now multiplying the highest exponent prime factors to calculate the LCM of 26835 and 26840.

LCM(26835,26840) = 3¹ × 5¹ × 1789¹ × 2³ × 11¹ × 61¹
LCM(26835,26840) = 144050280