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What is the Least Common Multiple of 11293 and 11301?

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 11293 and 11301 is 127622193.

LCM(11293,11301) = 127622193

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Least Common Multiple of 11293 and 11301 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11293 and 11301, than apply into the LCM equation.

GCF(11293,11301) = 1
LCM(11293,11301) = ( 11293 × 11301) / 1
LCM(11293,11301) = 127622193 / 1
LCM(11293,11301) = 127622193

Least Common Multiple (LCM) of 11293 and 11301 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11293 and 11301. First we will calculate the prime factors of 11293 and 11301.

Prime Factorization of 11293

Prime factors of 11293 are 23, 491. Prime factorization of 11293 in exponential form is:

11293 = 231 × 4911

Prime Factorization of 11301

Prime factors of 11301 are 3, 3767. Prime factorization of 11301 in exponential form is:

11301 = 31 × 37671

Now multiplying the highest exponent prime factors to calculate the LCM of 11293 and 11301.

LCM(11293,11301) = 231 × 4911 × 31 × 37671
LCM(11293,11301) = 127622193