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What is the Least Common Multiple of 6778 and 6783?

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 6778 and 6783 is 45975174.

LCM(6778,6783) = 45975174

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Least Common Multiple of 6778 and 6783 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6778 and 6783, than apply into the LCM equation.

GCF(6778,6783) = 1
LCM(6778,6783) = ( 6778 × 6783) / 1
LCM(6778,6783) = 45975174 / 1
LCM(6778,6783) = 45975174

Least Common Multiple (LCM) of 6778 and 6783 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6778 and 6783. First we will calculate the prime factors of 6778 and 6783.

Prime Factorization of 6778

Prime factors of 6778 are 2, 3389. Prime factorization of 6778 in exponential form is:

6778 = 21 × 33891

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6778 and 6783.

LCM(6778,6783) = 21 × 33891 × 31 × 71 × 171 × 191
LCM(6778,6783) = 45975174