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What is the Least Common Multiple of 93955 and 93975?

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 93955 and 93975 is 1765884225.

LCM(93955,93975) = 1765884225

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Least Common Multiple of 93955 and 93975 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93955 and 93975, than apply into the LCM equation.

GCF(93955,93975) = 5
LCM(93955,93975) = ( 93955 × 93975) / 5
LCM(93955,93975) = 8829421125 / 5
LCM(93955,93975) = 1765884225

Least Common Multiple (LCM) of 93955 and 93975 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93955 and 93975. First we will calculate the prime factors of 93955 and 93975.

Prime Factorization of 93955

Prime factors of 93955 are 5, 19, 23, 43. Prime factorization of 93955 in exponential form is:

93955 = 51 × 191 × 231 × 431

Prime Factorization of 93975

Prime factors of 93975 are 3, 5, 7, 179. Prime factorization of 93975 in exponential form is:

93975 = 31 × 52 × 71 × 1791

Now multiplying the highest exponent prime factors to calculate the LCM of 93955 and 93975.

LCM(93955,93975) = 52 × 191 × 231 × 431 × 31 × 71 × 1791
LCM(93955,93975) = 1765884225