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What is the Least Common Multiple of 10593 and 10613?

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 10593 and 10613 is 112423509.

LCM(10593,10613) = 112423509

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Least Common Multiple of 10593 and 10613 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10593 and 10613, than apply into the LCM equation.

GCF(10593,10613) = 1
LCM(10593,10613) = ( 10593 × 10613) / 1
LCM(10593,10613) = 112423509 / 1
LCM(10593,10613) = 112423509

Least Common Multiple (LCM) of 10593 and 10613 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10593 and 10613. First we will calculate the prime factors of 10593 and 10613.

Prime Factorization of 10593

Prime factors of 10593 are 3, 11, 107. Prime factorization of 10593 in exponential form is:

10593 = 32 × 111 × 1071

Prime Factorization of 10613

Prime factors of 10613 are 10613. Prime factorization of 10613 in exponential form is:

10613 = 106131

Now multiplying the highest exponent prime factors to calculate the LCM of 10593 and 10613.

LCM(10593,10613) = 32 × 111 × 1071 × 106131
LCM(10593,10613) = 112423509