What is the Least Common Multiple of 23898 and 23912?

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 23898 and 23912 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23898 and 23912, than apply into the LCM equation.

GCF(23898,23912) = 14
LCM(23898,23912) = ( 23898 × 23912) / 14
LCM(23898,23912) = 571448976 / 14
LCM(23898,23912) = 40817784

Least Common Multiple (LCM) of 23898 and 23912 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23898 and 23912. First we will calculate the prime factors of 23898 and 23912.

Prime Factorization of 23898

Prime Factorization of 23912

Now multiplying the highest exponent prime factors to calculate the LCM of 23898 and 23912.

LCM(23898,23912) = 2³ × 3¹ × 7² × 569¹ × 61¹
LCM(23898,23912) = 40817784