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What is the Least Common Multiple of 66326 and 66343?

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 66326 and 66343 is 4400265818.

LCM(66326,66343) = 4400265818

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Least Common Multiple of 66326 and 66343 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66326 and 66343, than apply into the LCM equation.

GCF(66326,66343) = 1
LCM(66326,66343) = ( 66326 × 66343) / 1
LCM(66326,66343) = 4400265818 / 1
LCM(66326,66343) = 4400265818

Least Common Multiple (LCM) of 66326 and 66343 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66326 and 66343. First we will calculate the prime factors of 66326 and 66343.

Prime Factorization of 66326

Prime factors of 66326 are 2, 13, 2551. Prime factorization of 66326 in exponential form is:

66326 = 21 × 131 × 25511

Prime Factorization of 66343

Prime factors of 66343 are 66343. Prime factorization of 66343 in exponential form is:

66343 = 663431

Now multiplying the highest exponent prime factors to calculate the LCM of 66326 and 66343.

LCM(66326,66343) = 21 × 131 × 25511 × 663431
LCM(66326,66343) = 4400265818