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What is the Least Common Multiple of 8805 and 8810?

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 8805 and 8810 is 15514410.

LCM(8805,8810) = 15514410

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Least Common Multiple of 8805 and 8810 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8805 and 8810, than apply into the LCM equation.

GCF(8805,8810) = 5
LCM(8805,8810) = ( 8805 × 8810) / 5
LCM(8805,8810) = 77572050 / 5
LCM(8805,8810) = 15514410

Least Common Multiple (LCM) of 8805 and 8810 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8805 and 8810. First we will calculate the prime factors of 8805 and 8810.

Prime Factorization of 8805

Prime factors of 8805 are 3, 5, 587. Prime factorization of 8805 in exponential form is:

8805 = 31 × 51 × 5871

Prime Factorization of 8810

Prime factors of 8810 are 2, 5, 881. Prime factorization of 8810 in exponential form is:

8810 = 21 × 51 × 8811

Now multiplying the highest exponent prime factors to calculate the LCM of 8805 and 8810.

LCM(8805,8810) = 31 × 51 × 5871 × 21 × 8811
LCM(8805,8810) = 15514410