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What is the Least Common Multiple of 8840 and 8855?

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 8840 and 8855 is 15655640.

LCM(8840,8855) = 15655640

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Least Common Multiple of 8840 and 8855 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8840 and 8855, than apply into the LCM equation.

GCF(8840,8855) = 5
LCM(8840,8855) = ( 8840 × 8855) / 5
LCM(8840,8855) = 78278200 / 5
LCM(8840,8855) = 15655640

Least Common Multiple (LCM) of 8840 and 8855 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8840 and 8855. First we will calculate the prime factors of 8840 and 8855.

Prime Factorization of 8840

Prime factors of 8840 are 2, 5, 13, 17. Prime factorization of 8840 in exponential form is:

8840 = 23 × 51 × 131 × 171

Prime Factorization of 8855

Prime factors of 8855 are 5, 7, 11, 23. Prime factorization of 8855 in exponential form is:

8855 = 51 × 71 × 111 × 231

Now multiplying the highest exponent prime factors to calculate the LCM of 8840 and 8855.

LCM(8840,8855) = 23 × 51 × 131 × 171 × 71 × 111 × 231
LCM(8840,8855) = 15655640