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What is the Least Common Multiple of 10690 and 10697?

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 10690 and 10697 is 114350930.

LCM(10690,10697) = 114350930

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Least Common Multiple of 10690 and 10697 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10690 and 10697, than apply into the LCM equation.

GCF(10690,10697) = 1
LCM(10690,10697) = ( 10690 × 10697) / 1
LCM(10690,10697) = 114350930 / 1
LCM(10690,10697) = 114350930

Least Common Multiple (LCM) of 10690 and 10697 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10690 and 10697. First we will calculate the prime factors of 10690 and 10697.

Prime Factorization of 10690

Prime factors of 10690 are 2, 5, 1069. Prime factorization of 10690 in exponential form is:

10690 = 21 × 51 × 10691

Prime Factorization of 10697

Prime factors of 10697 are 19, 563. Prime factorization of 10697 in exponential form is:

10697 = 191 × 5631

Now multiplying the highest exponent prime factors to calculate the LCM of 10690 and 10697.

LCM(10690,10697) = 21 × 51 × 10691 × 191 × 5631
LCM(10690,10697) = 114350930