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What is the Least Common Multiple of 7797 and 7811?

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 7797 and 7811 is 60902367.

LCM(7797,7811) = 60902367

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Least Common Multiple of 7797 and 7811 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7797 and 7811, than apply into the LCM equation.

GCF(7797,7811) = 1
LCM(7797,7811) = ( 7797 × 7811) / 1
LCM(7797,7811) = 60902367 / 1
LCM(7797,7811) = 60902367

Least Common Multiple (LCM) of 7797 and 7811 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7797 and 7811. First we will calculate the prime factors of 7797 and 7811.

Prime Factorization of 7797

Prime factors of 7797 are 3, 23, 113. Prime factorization of 7797 in exponential form is:

7797 = 31 × 231 × 1131

Prime Factorization of 7811

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

7811 = 731 × 1071

Now multiplying the highest exponent prime factors to calculate the LCM of 7797 and 7811.

LCM(7797,7811) = 31 × 231 × 1131 × 731 × 1071
LCM(7797,7811) = 60902367