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What is the Least Common Multiple of 93301 and 93320?

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 93301 and 93320 is 8706849320.

LCM(93301,93320) = 8706849320

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Least Common Multiple of 93301 and 93320 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93301 and 93320, than apply into the LCM equation.

GCF(93301,93320) = 1
LCM(93301,93320) = ( 93301 × 93320) / 1
LCM(93301,93320) = 8706849320 / 1
LCM(93301,93320) = 8706849320

Least Common Multiple (LCM) of 93301 and 93320 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93301 and 93320. First we will calculate the prime factors of 93301 and 93320.

Prime Factorization of 93301

Prime factors of 93301 are 13, 7177. Prime factorization of 93301 in exponential form is:

93301 = 131 × 71771

Prime Factorization of 93320

Prime factors of 93320 are 2, 5, 2333. Prime factorization of 93320 in exponential form is:

93320 = 23 × 51 × 23331

Now multiplying the highest exponent prime factors to calculate the LCM of 93301 and 93320.

LCM(93301,93320) = 131 × 71771 × 23 × 51 × 23331
LCM(93301,93320) = 8706849320