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What is the Least Common Multiple of 6760 and 6764?

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 6760 and 6764 is 11431160.

LCM(6760,6764) = 11431160

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Least Common Multiple of 6760 and 6764 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6760 and 6764, than apply into the LCM equation.

GCF(6760,6764) = 4
LCM(6760,6764) = ( 6760 × 6764) / 4
LCM(6760,6764) = 45724640 / 4
LCM(6760,6764) = 11431160

Least Common Multiple (LCM) of 6760 and 6764 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6760 and 6764. First we will calculate the prime factors of 6760 and 6764.

Prime Factorization of 6760

Prime factors of 6760 are 2, 5, 13. Prime factorization of 6760 in exponential form is:

6760 = 23 × 51 × 132

Prime Factorization of 6764

Prime factors of 6764 are 2, 19, 89. Prime factorization of 6764 in exponential form is:

6764 = 22 × 191 × 891

Now multiplying the highest exponent prime factors to calculate the LCM of 6760 and 6764.

LCM(6760,6764) = 23 × 51 × 132 × 191 × 891
LCM(6760,6764) = 11431160