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What is the Least Common Multiple of 8803 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 8803 and 8810 is 77554430.

LCM(8803,8810) = 77554430

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Least Common Multiple of 8803 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 8803 and 8810, than apply into the LCM equation.

GCF(8803,8810) = 1
LCM(8803,8810) = ( 8803 × 8810) / 1
LCM(8803,8810) = 77554430 / 1
LCM(8803,8810) = 77554430

Least Common Multiple (LCM) of 8803 and 8810 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8803 and 8810. First we will calculate the prime factors of 8803 and 8810.

Prime Factorization of 8803

Prime factors of 8803 are 8803. Prime factorization of 8803 in exponential form is:

8803 = 88031

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 8803 and 8810.

LCM(8803,8810) = 88031 × 21 × 51 × 8811
LCM(8803,8810) = 77554430