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What is the Least Common Multiple of 5068 and 5088?

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 5068 and 5088 is 6446496.

LCM(5068,5088) = 6446496

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Least Common Multiple of 5068 and 5088 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5068 and 5088, than apply into the LCM equation.

GCF(5068,5088) = 4
LCM(5068,5088) = ( 5068 × 5088) / 4
LCM(5068,5088) = 25785984 / 4
LCM(5068,5088) = 6446496

Least Common Multiple (LCM) of 5068 and 5088 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5068 and 5088. First we will calculate the prime factors of 5068 and 5088.

Prime Factorization of 5068

Prime factors of 5068 are 2, 7, 181. Prime factorization of 5068 in exponential form is:

5068 = 22 × 71 × 1811

Prime Factorization of 5088

Prime factors of 5088 are 2, 3, 53. Prime factorization of 5088 in exponential form is:

5088 = 25 × 31 × 531

Now multiplying the highest exponent prime factors to calculate the LCM of 5068 and 5088.

LCM(5068,5088) = 25 × 71 × 1811 × 31 × 531
LCM(5068,5088) = 6446496