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What is the Least Common Multiple of 78811 and 78827?

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 78811 and 78827 is 6212434697.

LCM(78811,78827) = 6212434697

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Least Common Multiple of 78811 and 78827 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78811 and 78827, than apply into the LCM equation.

GCF(78811,78827) = 1
LCM(78811,78827) = ( 78811 × 78827) / 1
LCM(78811,78827) = 6212434697 / 1
LCM(78811,78827) = 6212434697

Least Common Multiple (LCM) of 78811 and 78827 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78811 and 78827. First we will calculate the prime factors of 78811 and 78827.

Prime Factorization of 78811

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

78811 = 531 × 14871

Prime Factorization of 78827

Prime factors of 78827 are 7, 11261. Prime factorization of 78827 in exponential form is:

78827 = 71 × 112611

Now multiplying the highest exponent prime factors to calculate the LCM of 78811 and 78827.

LCM(78811,78827) = 531 × 14871 × 71 × 112611
LCM(78811,78827) = 6212434697