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What is the Least Common Multiple of 10653 and 10663?

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 10653 and 10663 is 113592939.

LCM(10653,10663) = 113592939

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Least Common Multiple of 10653 and 10663 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10653 and 10663, than apply into the LCM equation.

GCF(10653,10663) = 1
LCM(10653,10663) = ( 10653 × 10663) / 1
LCM(10653,10663) = 113592939 / 1
LCM(10653,10663) = 113592939

Least Common Multiple (LCM) of 10653 and 10663 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10653 and 10663. First we will calculate the prime factors of 10653 and 10663.

Prime Factorization of 10653

Prime factors of 10653 are 3, 53, 67. Prime factorization of 10653 in exponential form is:

10653 = 31 × 531 × 671

Prime Factorization of 10663

Prime factors of 10663 are 10663. Prime factorization of 10663 in exponential form is:

10663 = 106631

Now multiplying the highest exponent prime factors to calculate the LCM of 10653 and 10663.

LCM(10653,10663) = 31 × 531 × 671 × 106631
LCM(10653,10663) = 113592939