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What is the Least Common Multiple of 7783 and 7797?

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 7783 and 7797 is 60684051.

LCM(7783,7797) = 60684051

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Least Common Multiple of 7783 and 7797 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7783 and 7797, than apply into the LCM equation.

GCF(7783,7797) = 1
LCM(7783,7797) = ( 7783 × 7797) / 1
LCM(7783,7797) = 60684051 / 1
LCM(7783,7797) = 60684051

Least Common Multiple (LCM) of 7783 and 7797 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7783 and 7797. First we will calculate the prime factors of 7783 and 7797.

Prime Factorization of 7783

Prime factors of 7783 are 43, 181. Prime factorization of 7783 in exponential form is:

7783 = 431 × 1811

Prime Factorization of 7797

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

7797 = 31 × 231 × 1131

Now multiplying the highest exponent prime factors to calculate the LCM of 7783 and 7797.

LCM(7783,7797) = 431 × 1811 × 31 × 231 × 1131
LCM(7783,7797) = 60684051