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What is the Least Common Multiple of 10093 and 10101?

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 10093 and 10101 is 101949393.

LCM(10093,10101) = 101949393

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Least Common Multiple of 10093 and 10101 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10093 and 10101, than apply into the LCM equation.

GCF(10093,10101) = 1
LCM(10093,10101) = ( 10093 × 10101) / 1
LCM(10093,10101) = 101949393 / 1
LCM(10093,10101) = 101949393

Least Common Multiple (LCM) of 10093 and 10101 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10093 and 10101. First we will calculate the prime factors of 10093 and 10101.

Prime Factorization of 10093

Prime factors of 10093 are 10093. Prime factorization of 10093 in exponential form is:

10093 = 100931

Prime Factorization of 10101

Prime factors of 10101 are 3, 7, 13, 37. Prime factorization of 10101 in exponential form is:

10101 = 31 × 71 × 131 × 371

Now multiplying the highest exponent prime factors to calculate the LCM of 10093 and 10101.

LCM(10093,10101) = 100931 × 31 × 71 × 131 × 371
LCM(10093,10101) = 101949393