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What is the Least Common Multiple of 18882 and 18887?

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 18887 is 356624334.

LCM(18882,18887) = 356624334

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Least Common Multiple of 18882 and 18887 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 18887, than apply into the LCM equation.

GCF(18882,18887) = 1
LCM(18882,18887) = ( 18882 × 18887) / 1
LCM(18882,18887) = 356624334 / 1
LCM(18882,18887) = 356624334

Least Common Multiple (LCM) of 18882 and 18887 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18882 and 18887. First we will calculate the prime factors of 18882 and 18887.

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 18887

Prime factors of 18887 are 11, 17, 101. Prime factorization of 18887 in exponential form is:

18887 = 111 × 171 × 1011

Now multiplying the highest exponent prime factors to calculate the LCM of 18882 and 18887.

LCM(18882,18887) = 21 × 32 × 10491 × 111 × 171 × 1011
LCM(18882,18887) = 356624334