What is the Least Common Multiple of 2440 and 2460?

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 2440 and 2460 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2440 and 2460, than apply into the LCM equation.

GCF(2440,2460) = 20
LCM(2440,2460) = ( 2440 × 2460) / 20
LCM(2440,2460) = 6002400 / 20
LCM(2440,2460) = 300120

Least Common Multiple (LCM) of 2440 and 2460 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2440 and 2460. First we will calculate the prime factors of 2440 and 2460.

Prime Factorization of 2440

Prime Factorization of 2460

Now multiplying the highest exponent prime factors to calculate the LCM of 2440 and 2460.

LCM(2440,2460) = 2³ × 5¹ × 61¹ × 3¹ × 41¹
LCM(2440,2460) = 300120