What is the Least Common Multiple of 23478 and 23498?

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 23478 and 23498 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23478 and 23498, than apply into the LCM equation.

GCF(23478,23498) = 2
LCM(23478,23498) = ( 23478 × 23498) / 2
LCM(23478,23498) = 551686044 / 2
LCM(23478,23498) = 275843022

Least Common Multiple (LCM) of 23478 and 23498 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23478 and 23498. First we will calculate the prime factors of 23478 and 23498.

Prime Factorization of 23478

Prime Factorization of 23498

Now multiplying the highest exponent prime factors to calculate the LCM of 23478 and 23498.

LCM(23478,23498) = 2¹ × 3¹ × 7¹ × 13¹ × 43¹ × 31¹ × 379¹
LCM(23478,23498) = 275843022