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What is the Least Common Multiple of 69335 and 69340?

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 69335 and 69340 is 961537780.

LCM(69335,69340) = 961537780

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Least Common Multiple of 69335 and 69340 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69335 and 69340, than apply into the LCM equation.

GCF(69335,69340) = 5
LCM(69335,69340) = ( 69335 × 69340) / 5
LCM(69335,69340) = 4807688900 / 5
LCM(69335,69340) = 961537780

Least Common Multiple (LCM) of 69335 and 69340 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69335 and 69340. First we will calculate the prime factors of 69335 and 69340.

Prime Factorization of 69335

Prime factors of 69335 are 5, 7, 283. Prime factorization of 69335 in exponential form is:

69335 = 51 × 72 × 2831

Prime Factorization of 69340

Prime factors of 69340 are 2, 5, 3467. Prime factorization of 69340 in exponential form is:

69340 = 22 × 51 × 34671

Now multiplying the highest exponent prime factors to calculate the LCM of 69335 and 69340.

LCM(69335,69340) = 51 × 72 × 2831 × 22 × 34671
LCM(69335,69340) = 961537780