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What is the Least Common Multiple of 93058 and 93069?

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 93058 and 93069 is 8660815002.

LCM(93058,93069) = 8660815002

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Least Common Multiple of 93058 and 93069 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93058 and 93069, than apply into the LCM equation.

GCF(93058,93069) = 1
LCM(93058,93069) = ( 93058 × 93069) / 1
LCM(93058,93069) = 8660815002 / 1
LCM(93058,93069) = 8660815002

Least Common Multiple (LCM) of 93058 and 93069 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93058 and 93069. First we will calculate the prime factors of 93058 and 93069.

Prime Factorization of 93058

Prime factors of 93058 are 2, 7, 17, 23. Prime factorization of 93058 in exponential form is:

93058 = 21 × 71 × 172 × 231

Prime Factorization of 93069

Prime factors of 93069 are 3, 383. Prime factorization of 93069 in exponential form is:

93069 = 35 × 3831

Now multiplying the highest exponent prime factors to calculate the LCM of 93058 and 93069.

LCM(93058,93069) = 21 × 71 × 172 × 231 × 35 × 3831
LCM(93058,93069) = 8660815002