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What is the Least Common Multiple of 67323 and 67343?

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 67323 and 67343 is 4533732789.

LCM(67323,67343) = 4533732789

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Least Common Multiple of 67323 and 67343 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67323 and 67343, than apply into the LCM equation.

GCF(67323,67343) = 1
LCM(67323,67343) = ( 67323 × 67343) / 1
LCM(67323,67343) = 4533732789 / 1
LCM(67323,67343) = 4533732789

Least Common Multiple (LCM) of 67323 and 67343 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67323 and 67343. First we will calculate the prime factors of 67323 and 67343.

Prime Factorization of 67323

Prime factors of 67323 are 3, 22441. Prime factorization of 67323 in exponential form is:

67323 = 31 × 224411

Prime Factorization of 67343

Prime factors of 67343 are 67343. Prime factorization of 67343 in exponential form is:

67343 = 673431

Now multiplying the highest exponent prime factors to calculate the LCM of 67323 and 67343.

LCM(67323,67343) = 31 × 224411 × 673431
LCM(67323,67343) = 4533732789