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What is the Least Common Multiple of 93255 and 93274?

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 93255 and 93274 is 8698266870.

LCM(93255,93274) = 8698266870

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Least Common Multiple of 93255 and 93274 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93255 and 93274, than apply into the LCM equation.

GCF(93255,93274) = 1
LCM(93255,93274) = ( 93255 × 93274) / 1
LCM(93255,93274) = 8698266870 / 1
LCM(93255,93274) = 8698266870

Least Common Multiple (LCM) of 93255 and 93274 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93255 and 93274. First we will calculate the prime factors of 93255 and 93274.

Prime Factorization of 93255

Prime factors of 93255 are 3, 5, 6217. Prime factorization of 93255 in exponential form is:

93255 = 31 × 51 × 62171

Prime Factorization of 93274

Prime factors of 93274 are 2, 149, 313. Prime factorization of 93274 in exponential form is:

93274 = 21 × 1491 × 3131

Now multiplying the highest exponent prime factors to calculate the LCM of 93255 and 93274.

LCM(93255,93274) = 31 × 51 × 62171 × 21 × 1491 × 3131
LCM(93255,93274) = 8698266870