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What is the Least Common Multiple of 66810 and 66826?

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 66810 and 66826 is 2232322530.

LCM(66810,66826) = 2232322530

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Least Common Multiple of 66810 and 66826 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66810 and 66826, than apply into the LCM equation.

GCF(66810,66826) = 2
LCM(66810,66826) = ( 66810 × 66826) / 2
LCM(66810,66826) = 4464645060 / 2
LCM(66810,66826) = 2232322530

Least Common Multiple (LCM) of 66810 and 66826 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66810 and 66826. First we will calculate the prime factors of 66810 and 66826.

Prime Factorization of 66810

Prime factors of 66810 are 2, 3, 5, 17, 131. Prime factorization of 66810 in exponential form is:

66810 = 21 × 31 × 51 × 171 × 1311

Prime Factorization of 66826

Prime factors of 66826 are 2, 33413. Prime factorization of 66826 in exponential form is:

66826 = 21 × 334131

Now multiplying the highest exponent prime factors to calculate the LCM of 66810 and 66826.

LCM(66810,66826) = 21 × 31 × 51 × 171 × 1311 × 334131
LCM(66810,66826) = 2232322530