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What is the Least Common Multiple of 69333 and 69346?

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 69333 and 69346 is 4807966218.

LCM(69333,69346) = 4807966218

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Least Common Multiple of 69333 and 69346 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69333 and 69346, than apply into the LCM equation.

GCF(69333,69346) = 1
LCM(69333,69346) = ( 69333 × 69346) / 1
LCM(69333,69346) = 4807966218 / 1
LCM(69333,69346) = 4807966218

Least Common Multiple (LCM) of 69333 and 69346 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69333 and 69346. First we will calculate the prime factors of 69333 and 69346.

Prime Factorization of 69333

Prime factors of 69333 are 3, 11, 191. Prime factorization of 69333 in exponential form is:

69333 = 31 × 112 × 1911

Prime Factorization of 69346

Prime factors of 69346 are 2, 34673. Prime factorization of 69346 in exponential form is:

69346 = 21 × 346731

Now multiplying the highest exponent prime factors to calculate the LCM of 69333 and 69346.

LCM(69333,69346) = 31 × 112 × 1911 × 21 × 346731
LCM(69333,69346) = 4807966218