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What is the Least Common Multiple of 93383 and 93390?

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 93383 and 93390 is 8721038370.

LCM(93383,93390) = 8721038370

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Least Common Multiple of 93383 and 93390 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93383 and 93390, than apply into the LCM equation.

GCF(93383,93390) = 1
LCM(93383,93390) = ( 93383 × 93390) / 1
LCM(93383,93390) = 8721038370 / 1
LCM(93383,93390) = 8721038370

Least Common Multiple (LCM) of 93383 and 93390 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93383 and 93390. First we will calculate the prime factors of 93383 and 93390.

Prime Factorization of 93383

Prime factors of 93383 are 93383. Prime factorization of 93383 in exponential form is:

93383 = 933831

Prime Factorization of 93390

Prime factors of 93390 are 2, 3, 5, 11, 283. Prime factorization of 93390 in exponential form is:

93390 = 21 × 31 × 51 × 111 × 2831

Now multiplying the highest exponent prime factors to calculate the LCM of 93383 and 93390.

LCM(93383,93390) = 933831 × 21 × 31 × 51 × 111 × 2831
LCM(93383,93390) = 8721038370