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What is the Least Common Multiple of 8827 and 8838?

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 8827 and 8838 is 78013026.

LCM(8827,8838) = 78013026

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Least Common Multiple of 8827 and 8838 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8827 and 8838, than apply into the LCM equation.

GCF(8827,8838) = 1
LCM(8827,8838) = ( 8827 × 8838) / 1
LCM(8827,8838) = 78013026 / 1
LCM(8827,8838) = 78013026

Least Common Multiple (LCM) of 8827 and 8838 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8827 and 8838. First we will calculate the prime factors of 8827 and 8838.

Prime Factorization of 8827

Prime factors of 8827 are 7, 13, 97. Prime factorization of 8827 in exponential form is:

8827 = 71 × 131 × 971

Prime Factorization of 8838

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

8838 = 21 × 32 × 4911

Now multiplying the highest exponent prime factors to calculate the LCM of 8827 and 8838.

LCM(8827,8838) = 71 × 131 × 971 × 21 × 32 × 4911
LCM(8827,8838) = 78013026