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What is the Least Common Multiple of 8828 and 8848?

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 8828 and 8848 is 19527536.

LCM(8828,8848) = 19527536

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Least Common Multiple of 8828 and 8848 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8828 and 8848, than apply into the LCM equation.

GCF(8828,8848) = 4
LCM(8828,8848) = ( 8828 × 8848) / 4
LCM(8828,8848) = 78110144 / 4
LCM(8828,8848) = 19527536

Least Common Multiple (LCM) of 8828 and 8848 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8828 and 8848. First we will calculate the prime factors of 8828 and 8848.

Prime Factorization of 8828

Prime factors of 8828 are 2, 2207. Prime factorization of 8828 in exponential form is:

8828 = 22 × 22071

Prime Factorization of 8848

Prime factors of 8848 are 2, 7, 79. Prime factorization of 8848 in exponential form is:

8848 = 24 × 71 × 791

Now multiplying the highest exponent prime factors to calculate the LCM of 8828 and 8848.

LCM(8828,8848) = 24 × 22071 × 71 × 791
LCM(8828,8848) = 19527536