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What is the Least Common Multiple of 6788 and 6796?

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 6788 and 6796 is 11532812.

LCM(6788,6796) = 11532812

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Least Common Multiple of 6788 and 6796 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6788 and 6796, than apply into the LCM equation.

GCF(6788,6796) = 4
LCM(6788,6796) = ( 6788 × 6796) / 4
LCM(6788,6796) = 46131248 / 4
LCM(6788,6796) = 11532812

Least Common Multiple (LCM) of 6788 and 6796 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6788 and 6796. First we will calculate the prime factors of 6788 and 6796.

Prime Factorization of 6788

Prime factors of 6788 are 2, 1697. Prime factorization of 6788 in exponential form is:

6788 = 22 × 16971

Prime Factorization of 6796

Prime factors of 6796 are 2, 1699. Prime factorization of 6796 in exponential form is:

6796 = 22 × 16991

Now multiplying the highest exponent prime factors to calculate the LCM of 6788 and 6796.

LCM(6788,6796) = 22 × 16971 × 16991
LCM(6788,6796) = 11532812