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What is the Least Common Multiple of 13193 and 13202?

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 13202 is 174173986.

LCM(13193,13202) = 174173986

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Least Common Multiple of 13193 and 13202 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 13202, than apply into the LCM equation.

GCF(13193,13202) = 1
LCM(13193,13202) = ( 13193 × 13202) / 1
LCM(13193,13202) = 174173986 / 1
LCM(13193,13202) = 174173986

Least Common Multiple (LCM) of 13193 and 13202 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13193 and 13202. First we will calculate the prime factors of 13193 and 13202.

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 13202

Prime factors of 13202 are 2, 7, 23, 41. Prime factorization of 13202 in exponential form is:

13202 = 21 × 71 × 231 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 13193 and 13202.

LCM(13193,13202) = 791 × 1671 × 21 × 71 × 231 × 411
LCM(13193,13202) = 174173986