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What is the Least Common Multiple of 18858 and 18869?

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 18858 and 18869 is 355831602.

LCM(18858,18869) = 355831602

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Least Common Multiple of 18858 and 18869 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18858 and 18869, than apply into the LCM equation.

GCF(18858,18869) = 1
LCM(18858,18869) = ( 18858 × 18869) / 1
LCM(18858,18869) = 355831602 / 1
LCM(18858,18869) = 355831602

Least Common Multiple (LCM) of 18858 and 18869 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18858 and 18869. First we will calculate the prime factors of 18858 and 18869.

Prime Factorization of 18858

Prime factors of 18858 are 2, 3, 7, 449. Prime factorization of 18858 in exponential form is:

18858 = 21 × 31 × 71 × 4491

Prime Factorization of 18869

Prime factors of 18869 are 18869. Prime factorization of 18869 in exponential form is:

18869 = 188691

Now multiplying the highest exponent prime factors to calculate the LCM of 18858 and 18869.

LCM(18858,18869) = 21 × 31 × 71 × 4491 × 188691
LCM(18858,18869) = 355831602