What is the Least Common Multiple of 24474 and 24478?

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 24474 and 24478 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24474 and 24478, than apply into the LCM equation.

GCF(24474,24478) = 2
LCM(24474,24478) = ( 24474 × 24478) / 2
LCM(24474,24478) = 599074572 / 2
LCM(24474,24478) = 299537286

Least Common Multiple (LCM) of 24474 and 24478 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24474 and 24478. First we will calculate the prime factors of 24474 and 24478.

Prime Factorization of 24474

Prime Factorization of 24478

Now multiplying the highest exponent prime factors to calculate the LCM of 24474 and 24478.

LCM(24474,24478) = 2¹ × 3¹ × 4079¹ × 12239¹
LCM(24474,24478) = 299537286