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What is the Least Common Multiple of 6746 and 6751?

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 6746 and 6751 is 45542246.

LCM(6746,6751) = 45542246

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Least Common Multiple of 6746 and 6751 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6746 and 6751, than apply into the LCM equation.

GCF(6746,6751) = 1
LCM(6746,6751) = ( 6746 × 6751) / 1
LCM(6746,6751) = 45542246 / 1
LCM(6746,6751) = 45542246

Least Common Multiple (LCM) of 6746 and 6751 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6746 and 6751. First we will calculate the prime factors of 6746 and 6751.

Prime Factorization of 6746

Prime factors of 6746 are 2, 3373. Prime factorization of 6746 in exponential form is:

6746 = 21 × 33731

Prime Factorization of 6751

Prime factors of 6751 are 43, 157. Prime factorization of 6751 in exponential form is:

6751 = 431 × 1571

Now multiplying the highest exponent prime factors to calculate the LCM of 6746 and 6751.

LCM(6746,6751) = 21 × 33731 × 431 × 1571
LCM(6746,6751) = 45542246