What is the Least Common Multiple of 22134 and 22148?

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 22134 and 22148 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22134 and 22148, than apply into the LCM equation.

GCF(22134,22148) = 14
LCM(22134,22148) = ( 22134 × 22148) / 14
LCM(22134,22148) = 490223832 / 14
LCM(22134,22148) = 35015988

Least Common Multiple (LCM) of 22134 and 22148 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22134 and 22148. First we will calculate the prime factors of 22134 and 22148.

Prime Factorization of 22134

Prime Factorization of 22148

Now multiplying the highest exponent prime factors to calculate the LCM of 22134 and 22148.

LCM(22134,22148) = 2² × 3¹ × 7² × 17¹ × 31¹ × 113¹
LCM(22134,22148) = 35015988