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What is the Least Common Multiple of 10653 and 10669?

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 10669 is 113656857.

LCM(10653,10669) = 113656857

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Least Common Multiple of 10653 and 10669 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 10669, than apply into the LCM equation.

GCF(10653,10669) = 1
LCM(10653,10669) = ( 10653 × 10669) / 1
LCM(10653,10669) = 113656857 / 1
LCM(10653,10669) = 113656857

Least Common Multiple (LCM) of 10653 and 10669 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10653 and 10669. First we will calculate the prime factors of 10653 and 10669.

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 10669

Prime factors of 10669 are 47, 227. Prime factorization of 10669 in exponential form is:

10669 = 471 × 2271

Now multiplying the highest exponent prime factors to calculate the LCM of 10653 and 10669.

LCM(10653,10669) = 31 × 531 × 671 × 471 × 2271
LCM(10653,10669) = 113656857