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What is the Least Common Multiple of 5928 and 5948?

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 5928 and 5948 is 8814936.

LCM(5928,5948) = 8814936

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Least Common Multiple of 5928 and 5948 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5928 and 5948, than apply into the LCM equation.

GCF(5928,5948) = 4
LCM(5928,5948) = ( 5928 × 5948) / 4
LCM(5928,5948) = 35259744 / 4
LCM(5928,5948) = 8814936

Least Common Multiple (LCM) of 5928 and 5948 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5928 and 5948. First we will calculate the prime factors of 5928 and 5948.

Prime Factorization of 5928

Prime factors of 5928 are 2, 3, 13, 19. Prime factorization of 5928 in exponential form is:

5928 = 23 × 31 × 131 × 191

Prime Factorization of 5948

Prime factors of 5948 are 2, 1487. Prime factorization of 5948 in exponential form is:

5948 = 22 × 14871

Now multiplying the highest exponent prime factors to calculate the LCM of 5928 and 5948.

LCM(5928,5948) = 23 × 31 × 131 × 191 × 14871
LCM(5928,5948) = 8814936