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What is the Least Common Multiple of 80803 and 80813?

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 80813 is 6529932839.

LCM(80803,80813) = 6529932839

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Least Common Multiple of 80803 and 80813 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 80813, than apply into the LCM equation.

GCF(80803,80813) = 1
LCM(80803,80813) = ( 80803 × 80813) / 1
LCM(80803,80813) = 6529932839 / 1
LCM(80803,80813) = 6529932839

Least Common Multiple (LCM) of 80803 and 80813 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80803 and 80813. First we will calculate the prime factors of 80803 and 80813.

Prime Factorization of 80803

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

80803 = 808031

Prime Factorization of 80813

Prime factors of 80813 are 211, 383. Prime factorization of 80813 in exponential form is:

80813 = 2111 × 3831

Now multiplying the highest exponent prime factors to calculate the LCM of 80803 and 80813.

LCM(80803,80813) = 808031 × 2111 × 3831
LCM(80803,80813) = 6529932839