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What is the Least Common Multiple of 10197 and 10213?

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 10197 and 10213 is 104141961.

LCM(10197,10213) = 104141961

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Least Common Multiple of 10197 and 10213 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10197 and 10213, than apply into the LCM equation.

GCF(10197,10213) = 1
LCM(10197,10213) = ( 10197 × 10213) / 1
LCM(10197,10213) = 104141961 / 1
LCM(10197,10213) = 104141961

Least Common Multiple (LCM) of 10197 and 10213 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10197 and 10213. First we will calculate the prime factors of 10197 and 10213.

Prime Factorization of 10197

Prime factors of 10197 are 3, 11, 103. Prime factorization of 10197 in exponential form is:

10197 = 32 × 111 × 1031

Prime Factorization of 10213

Prime factors of 10213 are 7, 1459. Prime factorization of 10213 in exponential form is:

10213 = 71 × 14591

Now multiplying the highest exponent prime factors to calculate the LCM of 10197 and 10213.

LCM(10197,10213) = 32 × 111 × 1031 × 71 × 14591
LCM(10197,10213) = 104141961