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What is the Least Common Multiple of 30876 and 30896?

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 30876 and 30896 is 238486224.

LCM(30876,30896) = 238486224

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Least Common Multiple of 30876 and 30896 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30876 and 30896, than apply into the LCM equation.

GCF(30876,30896) = 4
LCM(30876,30896) = ( 30876 × 30896) / 4
LCM(30876,30896) = 953944896 / 4
LCM(30876,30896) = 238486224

Least Common Multiple (LCM) of 30876 and 30896 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30876 and 30896. First we will calculate the prime factors of 30876 and 30896.

Prime Factorization of 30876

Prime factors of 30876 are 2, 3, 31, 83. Prime factorization of 30876 in exponential form is:

30876 = 22 × 31 × 311 × 831

Prime Factorization of 30896

Prime factors of 30896 are 2, 1931. Prime factorization of 30896 in exponential form is:

30896 = 24 × 19311

Now multiplying the highest exponent prime factors to calculate the LCM of 30876 and 30896.

LCM(30876,30896) = 24 × 31 × 311 × 831 × 19311
LCM(30876,30896) = 238486224