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What is the Least Common Multiple of 93973 and 93993?

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 93973 and 93993 is 8832804189.

LCM(93973,93993) = 8832804189

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Least Common Multiple of 93973 and 93993 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93973 and 93993, than apply into the LCM equation.

GCF(93973,93993) = 1
LCM(93973,93993) = ( 93973 × 93993) / 1
LCM(93973,93993) = 8832804189 / 1
LCM(93973,93993) = 8832804189

Least Common Multiple (LCM) of 93973 and 93993 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93973 and 93993. First we will calculate the prime factors of 93973 and 93993.

Prime Factorization of 93973

Prime factors of 93973 are 11, 8543. Prime factorization of 93973 in exponential form is:

93973 = 111 × 85431

Prime Factorization of 93993

Prime factors of 93993 are 3, 17, 19, 97. Prime factorization of 93993 in exponential form is:

93993 = 31 × 171 × 191 × 971

Now multiplying the highest exponent prime factors to calculate the LCM of 93973 and 93993.

LCM(93973,93993) = 111 × 85431 × 31 × 171 × 191 × 971
LCM(93973,93993) = 8832804189