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What is the Least Common Multiple of 13193 and 13212?

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 (LCM) of 13193 and 13212 is 174305916.

LCM(13193,13212) = 174305916

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Least Common Multiple of 13193 and 13212 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13193 and 13212, than apply into the LCM equation.

GCF(13193,13212) = 1
LCM(13193,13212) = ( 13193 × 13212) / 1
LCM(13193,13212) = 174305916 / 1
LCM(13193,13212) = 174305916

Least Common Multiple (LCM) of 13193 and 13212 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13193 and 13212. First we will calculate the prime factors of 13193 and 13212.

Prime Factorization of 13193

Prime factors of 13193 are 79, 167. Prime factorization of 13193 in exponential form is:

13193 = 791 × 1671

Prime Factorization of 13212

Prime factors of 13212 are 2, 3, 367. Prime factorization of 13212 in exponential form is:

13212 = 22 × 32 × 3671

Now multiplying the highest exponent prime factors to calculate the LCM of 13193 and 13212.

LCM(13193,13212) = 791 × 1671 × 22 × 32 × 3671
LCM(13193,13212) = 174305916