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What is the Least Common Multiple of 6775 and 6781?

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 6775 and 6781 is 45941275.

LCM(6775,6781) = 45941275

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Least Common Multiple of 6775 and 6781 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6775 and 6781, than apply into the LCM equation.

GCF(6775,6781) = 1
LCM(6775,6781) = ( 6775 × 6781) / 1
LCM(6775,6781) = 45941275 / 1
LCM(6775,6781) = 45941275

Least Common Multiple (LCM) of 6775 and 6781 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6775 and 6781. First we will calculate the prime factors of 6775 and 6781.

Prime Factorization of 6775

Prime factors of 6775 are 5, 271. Prime factorization of 6775 in exponential form is:

6775 = 52 × 2711

Prime Factorization of 6781

Prime factors of 6781 are 6781. Prime factorization of 6781 in exponential form is:

6781 = 67811

Now multiplying the highest exponent prime factors to calculate the LCM of 6775 and 6781.

LCM(6775,6781) = 52 × 2711 × 67811
LCM(6775,6781) = 45941275