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What is the Least Common Multiple of 30848 and 30863?

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 30848 and 30863 is 952061824.

LCM(30848,30863) = 952061824

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Least Common Multiple of 30848 and 30863 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30848 and 30863, than apply into the LCM equation.

GCF(30848,30863) = 1
LCM(30848,30863) = ( 30848 × 30863) / 1
LCM(30848,30863) = 952061824 / 1
LCM(30848,30863) = 952061824

Least Common Multiple (LCM) of 30848 and 30863 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30848 and 30863. First we will calculate the prime factors of 30848 and 30863.

Prime Factorization of 30848

Prime factors of 30848 are 2, 241. Prime factorization of 30848 in exponential form is:

30848 = 27 × 2411

Prime Factorization of 30863

Prime factors of 30863 are 7, 4409. Prime factorization of 30863 in exponential form is:

30863 = 71 × 44091

Now multiplying the highest exponent prime factors to calculate the LCM of 30848 and 30863.

LCM(30848,30863) = 27 × 2411 × 71 × 44091
LCM(30848,30863) = 952061824