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What is the Least Common Multiple of 93380 and 93391?

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 93380 and 93391 is 8720851580.

LCM(93380,93391) = 8720851580

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Least Common Multiple of 93380 and 93391 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93380 and 93391, than apply into the LCM equation.

GCF(93380,93391) = 1
LCM(93380,93391) = ( 93380 × 93391) / 1
LCM(93380,93391) = 8720851580 / 1
LCM(93380,93391) = 8720851580

Least Common Multiple (LCM) of 93380 and 93391 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93380 and 93391. First we will calculate the prime factors of 93380 and 93391.

Prime Factorization of 93380

Prime factors of 93380 are 2, 5, 7, 23, 29. Prime factorization of 93380 in exponential form is:

93380 = 22 × 51 × 71 × 231 × 291

Prime Factorization of 93391

Prime factors of 93391 are 61, 1531. Prime factorization of 93391 in exponential form is:

93391 = 611 × 15311

Now multiplying the highest exponent prime factors to calculate the LCM of 93380 and 93391.

LCM(93380,93391) = 22 × 51 × 71 × 231 × 291 × 611 × 15311
LCM(93380,93391) = 8720851580