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What is the Least Common Multiple of 12273 and 12293?

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 12273 and 12293 is 150871989.

LCM(12273,12293) = 150871989

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Least Common Multiple of 12273 and 12293 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12273 and 12293, than apply into the LCM equation.

GCF(12273,12293) = 1
LCM(12273,12293) = ( 12273 × 12293) / 1
LCM(12273,12293) = 150871989 / 1
LCM(12273,12293) = 150871989

Least Common Multiple (LCM) of 12273 and 12293 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12273 and 12293. First we will calculate the prime factors of 12273 and 12293.

Prime Factorization of 12273

Prime factors of 12273 are 3, 4091. Prime factorization of 12273 in exponential form is:

12273 = 31 × 40911

Prime Factorization of 12293

Prime factors of 12293 are 19, 647. Prime factorization of 12293 in exponential form is:

12293 = 191 × 6471

Now multiplying the highest exponent prime factors to calculate the LCM of 12273 and 12293.

LCM(12273,12293) = 31 × 40911 × 191 × 6471
LCM(12273,12293) = 150871989