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What is the Least Common Multiple of 66323 and 66340?

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 66323 and 66340 is 4399867820.

LCM(66323,66340) = 4399867820

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Least Common Multiple of 66323 and 66340 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66323 and 66340, than apply into the LCM equation.

GCF(66323,66340) = 1
LCM(66323,66340) = ( 66323 × 66340) / 1
LCM(66323,66340) = 4399867820 / 1
LCM(66323,66340) = 4399867820

Least Common Multiple (LCM) of 66323 and 66340 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66323 and 66340. First we will calculate the prime factors of 66323 and 66340.

Prime Factorization of 66323

Prime factors of 66323 are 29, 2287. Prime factorization of 66323 in exponential form is:

66323 = 291 × 22871

Prime Factorization of 66340

Prime factors of 66340 are 2, 5, 31, 107. Prime factorization of 66340 in exponential form is:

66340 = 22 × 51 × 311 × 1071

Now multiplying the highest exponent prime factors to calculate the LCM of 66323 and 66340.

LCM(66323,66340) = 291 × 22871 × 22 × 51 × 311 × 1071
LCM(66323,66340) = 4399867820