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What is the Least Common Multiple of 78803 and 78811?

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 78803 and 78811 is 6210543233.

LCM(78803,78811) = 6210543233

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Least Common Multiple of 78803 and 78811 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78803 and 78811, than apply into the LCM equation.

GCF(78803,78811) = 1
LCM(78803,78811) = ( 78803 × 78811) / 1
LCM(78803,78811) = 6210543233 / 1
LCM(78803,78811) = 6210543233

Least Common Multiple (LCM) of 78803 and 78811 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78803 and 78811. First we will calculate the prime factors of 78803 and 78811.

Prime Factorization of 78803

Prime factors of 78803 are 78803. Prime factorization of 78803 in exponential form is:

78803 = 788031

Prime Factorization of 78811

Prime factors of 78811 are 53, 1487. Prime factorization of 78811 in exponential form is:

78811 = 531 × 14871

Now multiplying the highest exponent prime factors to calculate the LCM of 78803 and 78811.

LCM(78803,78811) = 788031 × 531 × 14871
LCM(78803,78811) = 6210543233