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What is the Least Common Multiple of 6766 and 6774?

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 6766 and 6774 is 22916442.

LCM(6766,6774) = 22916442

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Least Common Multiple of 6766 and 6774 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6766 and 6774, than apply into the LCM equation.

GCF(6766,6774) = 2
LCM(6766,6774) = ( 6766 × 6774) / 2
LCM(6766,6774) = 45832884 / 2
LCM(6766,6774) = 22916442

Least Common Multiple (LCM) of 6766 and 6774 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6766 and 6774. First we will calculate the prime factors of 6766 and 6774.

Prime Factorization of 6766

Prime factors of 6766 are 2, 17, 199. Prime factorization of 6766 in exponential form is:

6766 = 21 × 171 × 1991

Prime Factorization of 6774

Prime factors of 6774 are 2, 3, 1129. Prime factorization of 6774 in exponential form is:

6774 = 21 × 31 × 11291

Now multiplying the highest exponent prime factors to calculate the LCM of 6766 and 6774.

LCM(6766,6774) = 21 × 171 × 1991 × 31 × 11291
LCM(6766,6774) = 22916442