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What is the Least Common Multiple of 8834 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 8834 and 8854 is 39108118.

LCM(8834,8854) = 39108118

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Least Common Multiple of 8834 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 8834 and 8854, than apply into the LCM equation.

GCF(8834,8854) = 2
LCM(8834,8854) = ( 8834 × 8854) / 2
LCM(8834,8854) = 78216236 / 2
LCM(8834,8854) = 39108118

Least Common Multiple (LCM) of 8834 and 8854 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8834 and 8854. First we will calculate the prime factors of 8834 and 8854.

Prime Factorization of 8834

Prime factors of 8834 are 2, 7, 631. Prime factorization of 8834 in exponential form is:

8834 = 21 × 71 × 6311

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 8834 and 8854.

LCM(8834,8854) = 21 × 71 × 6311 × 191 × 2331
LCM(8834,8854) = 39108118