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What is the Least Common Multiple of 93283 and 93290?

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 93283 and 93290 is 8702371070.

LCM(93283,93290) = 8702371070

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Least Common Multiple of 93283 and 93290 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93283 and 93290, than apply into the LCM equation.

GCF(93283,93290) = 1
LCM(93283,93290) = ( 93283 × 93290) / 1
LCM(93283,93290) = 8702371070 / 1
LCM(93283,93290) = 8702371070

Least Common Multiple (LCM) of 93283 and 93290 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93283 and 93290. First we will calculate the prime factors of 93283 and 93290.

Prime Factorization of 93283

Prime factors of 93283 are 93283. Prime factorization of 93283 in exponential form is:

93283 = 932831

Prime Factorization of 93290

Prime factors of 93290 are 2, 5, 19, 491. Prime factorization of 93290 in exponential form is:

93290 = 21 × 51 × 191 × 4911

Now multiplying the highest exponent prime factors to calculate the LCM of 93283 and 93290.

LCM(93283,93290) = 932831 × 21 × 51 × 191 × 4911
LCM(93283,93290) = 8702371070