What is the Least Common Multiple of 24374 and 24388?

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 24374 and 24388 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24374 and 24388, than apply into the LCM equation.

GCF(24374,24388) = 14
LCM(24374,24388) = ( 24374 × 24388) / 14
LCM(24374,24388) = 594433112 / 14
LCM(24374,24388) = 42459508

Least Common Multiple (LCM) of 24374 and 24388 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24374 and 24388. First we will calculate the prime factors of 24374 and 24388.

Prime Factorization of 24374

Prime Factorization of 24388

Now multiplying the highest exponent prime factors to calculate the LCM of 24374 and 24388.

LCM(24374,24388) = 2² × 7¹ × 1741¹ × 13¹ × 67¹
LCM(24374,24388) = 42459508