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What is the Least Common Multiple of 69135 and 69143?

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 69135 and 69143 is 4780201305.

LCM(69135,69143) = 4780201305

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Least Common Multiple of 69135 and 69143 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69135 and 69143, than apply into the LCM equation.

GCF(69135,69143) = 1
LCM(69135,69143) = ( 69135 × 69143) / 1
LCM(69135,69143) = 4780201305 / 1
LCM(69135,69143) = 4780201305

Least Common Multiple (LCM) of 69135 and 69143 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69135 and 69143. First we will calculate the prime factors of 69135 and 69143.

Prime Factorization of 69135

Prime factors of 69135 are 3, 5, 11, 419. Prime factorization of 69135 in exponential form is:

69135 = 31 × 51 × 111 × 4191

Prime Factorization of 69143

Prime factors of 69143 are 69143. Prime factorization of 69143 in exponential form is:

69143 = 691431

Now multiplying the highest exponent prime factors to calculate the LCM of 69135 and 69143.

LCM(69135,69143) = 31 × 51 × 111 × 4191 × 691431
LCM(69135,69143) = 4780201305