What is the Least Common Multiple of 23142 and 23148?

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 23142 and 23148 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23142 and 23148, than apply into the LCM equation.

GCF(23142,23148) = 6
LCM(23142,23148) = ( 23142 × 23148) / 6
LCM(23142,23148) = 535691016 / 6
LCM(23142,23148) = 89281836

Least Common Multiple (LCM) of 23142 and 23148 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23142 and 23148. First we will calculate the prime factors of 23142 and 23148.

Prime Factorization of 23142

Prime Factorization of 23148

Now multiplying the highest exponent prime factors to calculate the LCM of 23142 and 23148.

LCM(23142,23148) = 2² × 3² × 7¹ × 19¹ × 29¹ × 643¹
LCM(23142,23148) = 89281836