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What is the Least Common Multiple of 8842 and 8858?

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 8842 and 8858 is 39161218.

LCM(8842,8858) = 39161218

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Least Common Multiple of 8842 and 8858 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8842 and 8858, than apply into the LCM equation.

GCF(8842,8858) = 2
LCM(8842,8858) = ( 8842 × 8858) / 2
LCM(8842,8858) = 78322436 / 2
LCM(8842,8858) = 39161218

Least Common Multiple (LCM) of 8842 and 8858 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8842 and 8858. First we will calculate the prime factors of 8842 and 8858.

Prime Factorization of 8842

Prime factors of 8842 are 2, 4421. Prime factorization of 8842 in exponential form is:

8842 = 21 × 44211

Prime Factorization of 8858

Prime factors of 8858 are 2, 43, 103. Prime factorization of 8858 in exponential form is:

8858 = 21 × 431 × 1031

Now multiplying the highest exponent prime factors to calculate the LCM of 8842 and 8858.

LCM(8842,8858) = 21 × 44211 × 431 × 1031
LCM(8842,8858) = 39161218