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What is the Least Common Multiple of 93295 and 93314?

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 93295 and 93314 is 8705729630.

LCM(93295,93314) = 8705729630

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Least Common Multiple of 93295 and 93314 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93295 and 93314, than apply into the LCM equation.

GCF(93295,93314) = 1
LCM(93295,93314) = ( 93295 × 93314) / 1
LCM(93295,93314) = 8705729630 / 1
LCM(93295,93314) = 8705729630

Least Common Multiple (LCM) of 93295 and 93314 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93295 and 93314. First we will calculate the prime factors of 93295 and 93314.

Prime Factorization of 93295

Prime factors of 93295 are 5, 47, 397. Prime factorization of 93295 in exponential form is:

93295 = 51 × 471 × 3971

Prime Factorization of 93314

Prime factors of 93314 are 2, 13, 37, 97. Prime factorization of 93314 in exponential form is:

93314 = 21 × 131 × 371 × 971

Now multiplying the highest exponent prime factors to calculate the LCM of 93295 and 93314.

LCM(93295,93314) = 51 × 471 × 3971 × 21 × 131 × 371 × 971
LCM(93295,93314) = 8705729630