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What is the Least Common Multiple of 18854 and 18864?

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 18854 and 18864 is 177830928.

LCM(18854,18864) = 177830928

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Least Common Multiple of 18854 and 18864 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18854 and 18864, than apply into the LCM equation.

GCF(18854,18864) = 2
LCM(18854,18864) = ( 18854 × 18864) / 2
LCM(18854,18864) = 355661856 / 2
LCM(18854,18864) = 177830928

Least Common Multiple (LCM) of 18854 and 18864 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18854 and 18864. First we will calculate the prime factors of 18854 and 18864.

Prime Factorization of 18854

Prime factors of 18854 are 2, 11, 857. Prime factorization of 18854 in exponential form is:

18854 = 21 × 111 × 8571

Prime Factorization of 18864

Prime factors of 18864 are 2, 3, 131. Prime factorization of 18864 in exponential form is:

18864 = 24 × 32 × 1311

Now multiplying the highest exponent prime factors to calculate the LCM of 18854 and 18864.

LCM(18854,18864) = 24 × 111 × 8571 × 32 × 1311
LCM(18854,18864) = 177830928