What is the Least Common Multiple of 23478 and 23491?

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 23491 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 23491, than apply into the LCM equation.

GCF(23478,23491) = 13
LCM(23478,23491) = ( 23478 × 23491) / 13
LCM(23478,23491) = 551521698 / 13
LCM(23478,23491) = 42424746

Least Common Multiple (LCM) of 23478 and 23491 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23478 and 23491. First we will calculate the prime factors of 23478 and 23491.

Prime Factorization of 23478

Prime Factorization of 23491

Now multiplying the highest exponent prime factors to calculate the LCM of 23478 and 23491.

LCM(23478,23491) = 2¹ × 3¹ × 7¹ × 13² × 43¹ × 139¹
LCM(23478,23491) = 42424746