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What is the Least Common Multiple of 94095 and 94104?

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 94095 and 94104 is 983857320.

LCM(94095,94104) = 983857320

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Least Common Multiple of 94095 and 94104 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94095 and 94104, than apply into the LCM equation.

GCF(94095,94104) = 9
LCM(94095,94104) = ( 94095 × 94104) / 9
LCM(94095,94104) = 8854715880 / 9
LCM(94095,94104) = 983857320

Least Common Multiple (LCM) of 94095 and 94104 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94095 and 94104. First we will calculate the prime factors of 94095 and 94104.

Prime Factorization of 94095

Prime factors of 94095 are 3, 5, 17, 41. Prime factorization of 94095 in exponential form is:

94095 = 33 × 51 × 171 × 411

Prime Factorization of 94104

Prime factors of 94104 are 2, 3, 1307. Prime factorization of 94104 in exponential form is:

94104 = 23 × 32 × 13071

Now multiplying the highest exponent prime factors to calculate the LCM of 94095 and 94104.

LCM(94095,94104) = 33 × 51 × 171 × 411 × 23 × 13071
LCM(94095,94104) = 983857320