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What is the Least Common Multiple of 80803 and 80810?

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 80803 and 80810 is 6529690430.

LCM(80803,80810) = 6529690430

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Least Common Multiple of 80803 and 80810 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80803 and 80810, than apply into the LCM equation.

GCF(80803,80810) = 1
LCM(80803,80810) = ( 80803 × 80810) / 1
LCM(80803,80810) = 6529690430 / 1
LCM(80803,80810) = 6529690430

Least Common Multiple (LCM) of 80803 and 80810 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80803 and 80810. First we will calculate the prime factors of 80803 and 80810.

Prime Factorization of 80803

Prime factors of 80803 are 80803. Prime factorization of 80803 in exponential form is:

80803 = 808031

Prime Factorization of 80810

Prime factors of 80810 are 2, 5, 8081. Prime factorization of 80810 in exponential form is:

80810 = 21 × 51 × 80811

Now multiplying the highest exponent prime factors to calculate the LCM of 80803 and 80810.

LCM(80803,80810) = 808031 × 21 × 51 × 80811
LCM(80803,80810) = 6529690430