What is the Least Common Multiple of 23196 and 23212?

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 23196 and 23212 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23196 and 23212, than apply into the LCM equation.

GCF(23196,23212) = 4
LCM(23196,23212) = ( 23196 × 23212) / 4
LCM(23196,23212) = 538425552 / 4
LCM(23196,23212) = 134606388

Least Common Multiple (LCM) of 23196 and 23212 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23196 and 23212. First we will calculate the prime factors of 23196 and 23212.

Prime Factorization of 23196

Prime Factorization of 23212

Now multiplying the highest exponent prime factors to calculate the LCM of 23196 and 23212.

LCM(23196,23212) = 2² × 3¹ × 1933¹ × 7¹ × 829¹
LCM(23196,23212) = 134606388