What is the Least Common Multiple of 2454 and 2474?

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 2454 and 2474 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2454 and 2474, than apply into the LCM equation.

GCF(2454,2474) = 2
LCM(2454,2474) = ( 2454 × 2474) / 2
LCM(2454,2474) = 6071196 / 2
LCM(2454,2474) = 3035598

Least Common Multiple (LCM) of 2454 and 2474 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2454 and 2474. First we will calculate the prime factors of 2454 and 2474.

Prime Factorization of 2454

Prime Factorization of 2474

Now multiplying the highest exponent prime factors to calculate the LCM of 2454 and 2474.

LCM(2454,2474) = 2¹ × 3¹ × 409¹ × 1237¹
LCM(2454,2474) = 3035598