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What is the Least Common Multiple of 5293 and 5304?

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 5293 and 5304 is 28074072.

LCM(5293,5304) = 28074072

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Least Common Multiple of 5293 and 5304 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5293 and 5304, than apply into the LCM equation.

GCF(5293,5304) = 1
LCM(5293,5304) = ( 5293 × 5304) / 1
LCM(5293,5304) = 28074072 / 1
LCM(5293,5304) = 28074072

Least Common Multiple (LCM) of 5293 and 5304 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5293 and 5304. First we will calculate the prime factors of 5293 and 5304.

Prime Factorization of 5293

Prime factors of 5293 are 67, 79. Prime factorization of 5293 in exponential form is:

5293 = 671 × 791

Prime Factorization of 5304

Prime factors of 5304 are 2, 3, 13, 17. Prime factorization of 5304 in exponential form is:

5304 = 23 × 31 × 131 × 171

Now multiplying the highest exponent prime factors to calculate the LCM of 5293 and 5304.

LCM(5293,5304) = 671 × 791 × 23 × 31 × 131 × 171
LCM(5293,5304) = 28074072