What is the Least Common Multiple of 23142 and 23157?

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 23157 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 23157, than apply into the LCM equation.

GCF(23142,23157) = 3
LCM(23142,23157) = ( 23142 × 23157) / 3
LCM(23142,23157) = 535899294 / 3
LCM(23142,23157) = 178633098

Least Common Multiple (LCM) of 23142 and 23157 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23142 and 23157. First we will calculate the prime factors of 23142 and 23157.

Prime Factorization of 23142

Prime Factorization of 23157

Now multiplying the highest exponent prime factors to calculate the LCM of 23142 and 23157.

LCM(23142,23157) = 2¹ × 3² × 7¹ × 19¹ × 29¹ × 31¹ × 83¹
LCM(23142,23157) = 178633098