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What is the Least Common Multiple of 8835 and 8854?

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 8835 and 8854 is 4117110.

LCM(8835,8854) = 4117110

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Least Common Multiple of 8835 and 8854 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8835 and 8854, than apply into the LCM equation.

GCF(8835,8854) = 19
LCM(8835,8854) = ( 8835 × 8854) / 19
LCM(8835,8854) = 78225090 / 19
LCM(8835,8854) = 4117110

Least Common Multiple (LCM) of 8835 and 8854 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8835 and 8854. First we will calculate the prime factors of 8835 and 8854.

Prime Factorization of 8835

Prime factors of 8835 are 3, 5, 19, 31. Prime factorization of 8835 in exponential form is:

8835 = 31 × 51 × 191 × 311

Prime Factorization of 8854

Prime factors of 8854 are 2, 19, 233. Prime factorization of 8854 in exponential form is:

8854 = 21 × 191 × 2331

Now multiplying the highest exponent prime factors to calculate the LCM of 8835 and 8854.

LCM(8835,8854) = 31 × 51 × 191 × 311 × 21 × 2331
LCM(8835,8854) = 4117110