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What is the Least Common Multiple of 18882 and 18896?

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 18882 and 18896 is 178397136.

LCM(18882,18896) = 178397136

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Least Common Multiple of 18882 and 18896 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18882 and 18896, than apply into the LCM equation.

GCF(18882,18896) = 2
LCM(18882,18896) = ( 18882 × 18896) / 2
LCM(18882,18896) = 356794272 / 2
LCM(18882,18896) = 178397136

Least Common Multiple (LCM) of 18882 and 18896 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18882 and 18896. First we will calculate the prime factors of 18882 and 18896.

Prime Factorization of 18882

Prime factors of 18882 are 2, 3, 1049. Prime factorization of 18882 in exponential form is:

18882 = 21 × 32 × 10491

Prime Factorization of 18896

Prime factors of 18896 are 2, 1181. Prime factorization of 18896 in exponential form is:

18896 = 24 × 11811

Now multiplying the highest exponent prime factors to calculate the LCM of 18882 and 18896.

LCM(18882,18896) = 24 × 32 × 10491 × 11811
LCM(18882,18896) = 178397136