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What is the Least Common Multiple of 30876 and 30893?

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 30893 is 953852268.

LCM(30876,30893) = 953852268

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Least Common Multiple of 30876 and 30893 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 30893, than apply into the LCM equation.

GCF(30876,30893) = 1
LCM(30876,30893) = ( 30876 × 30893) / 1
LCM(30876,30893) = 953852268 / 1
LCM(30876,30893) = 953852268

Least Common Multiple (LCM) of 30876 and 30893 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30876 and 30893. First we will calculate the prime factors of 30876 and 30893.

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 30893

Prime factors of 30893 are 30893. Prime factorization of 30893 in exponential form is:

30893 = 308931

Now multiplying the highest exponent prime factors to calculate the LCM of 30876 and 30893.

LCM(30876,30893) = 22 × 31 × 311 × 831 × 308931
LCM(30876,30893) = 953852268