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What is the Least Common Multiple of 6783 and 6802?

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 6783 and 6802 is 2428314.

LCM(6783,6802) = 2428314

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Least Common Multiple of 6783 and 6802 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6783 and 6802, than apply into the LCM equation.

GCF(6783,6802) = 19
LCM(6783,6802) = ( 6783 × 6802) / 19
LCM(6783,6802) = 46137966 / 19
LCM(6783,6802) = 2428314

Least Common Multiple (LCM) of 6783 and 6802 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6783 and 6802. First we will calculate the prime factors of 6783 and 6802.

Prime Factorization of 6783

Prime factors of 6783 are 3, 7, 17, 19. Prime factorization of 6783 in exponential form is:

6783 = 31 × 71 × 171 × 191

Prime Factorization of 6802

Prime factors of 6802 are 2, 19, 179. Prime factorization of 6802 in exponential form is:

6802 = 21 × 191 × 1791

Now multiplying the highest exponent prime factors to calculate the LCM of 6783 and 6802.

LCM(6783,6802) = 31 × 71 × 171 × 191 × 21 × 1791
LCM(6783,6802) = 2428314