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What is the Least Common Multiple of 12180 and 12193?

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 12180 and 12193 is 148510740.

LCM(12180,12193) = 148510740

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Least Common Multiple of 12180 and 12193 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12180 and 12193, than apply into the LCM equation.

GCF(12180,12193) = 1
LCM(12180,12193) = ( 12180 × 12193) / 1
LCM(12180,12193) = 148510740 / 1
LCM(12180,12193) = 148510740

Least Common Multiple (LCM) of 12180 and 12193 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12180 and 12193. First we will calculate the prime factors of 12180 and 12193.

Prime Factorization of 12180

Prime factors of 12180 are 2, 3, 5, 7, 29. Prime factorization of 12180 in exponential form is:

12180 = 22 × 31 × 51 × 71 × 291

Prime Factorization of 12193

Prime factors of 12193 are 89, 137. Prime factorization of 12193 in exponential form is:

12193 = 891 × 1371

Now multiplying the highest exponent prime factors to calculate the LCM of 12180 and 12193.

LCM(12180,12193) = 22 × 31 × 51 × 71 × 291 × 891 × 1371
LCM(12180,12193) = 148510740