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What is the Least Common Multiple of 18884 and 18889?

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 18884 and 18889 is 356699876.

LCM(18884,18889) = 356699876

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Least Common Multiple of 18884 and 18889 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18884 and 18889, than apply into the LCM equation.

GCF(18884,18889) = 1
LCM(18884,18889) = ( 18884 × 18889) / 1
LCM(18884,18889) = 356699876 / 1
LCM(18884,18889) = 356699876

Least Common Multiple (LCM) of 18884 and 18889 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18884 and 18889. First we will calculate the prime factors of 18884 and 18889.

Prime Factorization of 18884

Prime factors of 18884 are 2, 4721. Prime factorization of 18884 in exponential form is:

18884 = 22 × 47211

Prime Factorization of 18889

Prime factors of 18889 are 13, 1453. Prime factorization of 18889 in exponential form is:

18889 = 131 × 14531

Now multiplying the highest exponent prime factors to calculate the LCM of 18884 and 18889.

LCM(18884,18889) = 22 × 47211 × 131 × 14531
LCM(18884,18889) = 356699876