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What is the Least Common Multiple of 69330 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 69330 and 69346 is 2403879090.

LCM(69330,69346) = 2403879090

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Least Common Multiple of 69330 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 69330 and 69346, than apply into the LCM equation.

GCF(69330,69346) = 2
LCM(69330,69346) = ( 69330 × 69346) / 2
LCM(69330,69346) = 4807758180 / 2
LCM(69330,69346) = 2403879090

Least Common Multiple (LCM) of 69330 and 69346 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69330 and 69346. First we will calculate the prime factors of 69330 and 69346.

Prime Factorization of 69330

Prime factors of 69330 are 2, 3, 5, 2311. Prime factorization of 69330 in exponential form is:

69330 = 21 × 31 × 51 × 23111

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 69330 and 69346.

LCM(69330,69346) = 21 × 31 × 51 × 23111 × 346731
LCM(69330,69346) = 2403879090