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What is the Least Common Multiple of 54279 and 54293?

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 54279 and 54293 is 2946969747.

LCM(54279,54293) = 2946969747

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Least Common Multiple of 54279 and 54293 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54279 and 54293, than apply into the LCM equation.

GCF(54279,54293) = 1
LCM(54279,54293) = ( 54279 × 54293) / 1
LCM(54279,54293) = 2946969747 / 1
LCM(54279,54293) = 2946969747

Least Common Multiple (LCM) of 54279 and 54293 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54279 and 54293. First we will calculate the prime factors of 54279 and 54293.

Prime Factorization of 54279

Prime factors of 54279 are 3, 37, 163. Prime factorization of 54279 in exponential form is:

54279 = 32 × 371 × 1631

Prime Factorization of 54293

Prime factors of 54293 are 54293. Prime factorization of 54293 in exponential form is:

54293 = 542931

Now multiplying the highest exponent prime factors to calculate the LCM of 54279 and 54293.

LCM(54279,54293) = 32 × 371 × 1631 × 542931
LCM(54279,54293) = 2946969747