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What is the Least Common Multiple of 8838 and 8842?

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 8838 and 8842 is 39072798.

LCM(8838,8842) = 39072798

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Least Common Multiple of 8838 and 8842 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8838 and 8842, than apply into the LCM equation.

GCF(8838,8842) = 2
LCM(8838,8842) = ( 8838 × 8842) / 2
LCM(8838,8842) = 78145596 / 2
LCM(8838,8842) = 39072798

Least Common Multiple (LCM) of 8838 and 8842 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8838 and 8842. First we will calculate the prime factors of 8838 and 8842.

Prime Factorization of 8838

Prime factors of 8838 are 2, 3, 491. Prime factorization of 8838 in exponential form is:

8838 = 21 × 32 × 4911

Prime Factorization of 8842

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

8842 = 21 × 44211

Now multiplying the highest exponent prime factors to calculate the LCM of 8838 and 8842.

LCM(8838,8842) = 21 × 32 × 4911 × 44211
LCM(8838,8842) = 39072798