What is the Least Common Multiple of 2425 and 2440?

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 2425 and 2440 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2425 and 2440, than apply into the LCM equation.

GCF(2425,2440) = 5
LCM(2425,2440) = ( 2425 × 2440) / 5
LCM(2425,2440) = 5917000 / 5
LCM(2425,2440) = 1183400

Least Common Multiple (LCM) of 2425 and 2440 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2425 and 2440. First we will calculate the prime factors of 2425 and 2440.

Prime Factorization of 2425

Prime Factorization of 2440

Now multiplying the highest exponent prime factors to calculate the LCM of 2425 and 2440.

LCM(2425,2440) = 5² × 97¹ × 2³ × 61¹
LCM(2425,2440) = 1183400