What is the Least Common Multiple of 2408 and 2427?

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 2408 and 2427 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2408 and 2427, than apply into the LCM equation.

GCF(2408,2427) = 1
LCM(2408,2427) = ( 2408 × 2427) / 1
LCM(2408,2427) = 5844216 / 1
LCM(2408,2427) = 5844216

Least Common Multiple (LCM) of 2408 and 2427 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2408 and 2427. First we will calculate the prime factors of 2408 and 2427.

Prime Factorization of 2408

Prime Factorization of 2427

Now multiplying the highest exponent prime factors to calculate the LCM of 2408 and 2427.

LCM(2408,2427) = 2³ × 7¹ × 43¹ × 3¹ × 809¹
LCM(2408,2427) = 5844216