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What is the Least Common Multiple of 7811 and 7817?

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 7811 and 7817 is 61058587.

LCM(7811,7817) = 61058587

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Least Common Multiple of 7811 and 7817 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7811 and 7817, than apply into the LCM equation.

GCF(7811,7817) = 1
LCM(7811,7817) = ( 7811 × 7817) / 1
LCM(7811,7817) = 61058587 / 1
LCM(7811,7817) = 61058587

Least Common Multiple (LCM) of 7811 and 7817 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7811 and 7817. First we will calculate the prime factors of 7811 and 7817.

Prime Factorization of 7811

Prime factors of 7811 are 73, 107. Prime factorization of 7811 in exponential form is:

7811 = 731 × 1071

Prime Factorization of 7817

Prime factors of 7817 are 7817. Prime factorization of 7817 in exponential form is:

7817 = 78171

Now multiplying the highest exponent prime factors to calculate the LCM of 7811 and 7817.

LCM(7811,7817) = 731 × 1071 × 78171
LCM(7811,7817) = 61058587