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What is the Least Common Multiple of 10885 and 10897?

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 10885 and 10897 is 118613845.

LCM(10885,10897) = 118613845

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Least Common Multiple of 10885 and 10897 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10885 and 10897, than apply into the LCM equation.

GCF(10885,10897) = 1
LCM(10885,10897) = ( 10885 × 10897) / 1
LCM(10885,10897) = 118613845 / 1
LCM(10885,10897) = 118613845

Least Common Multiple (LCM) of 10885 and 10897 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10885 and 10897. First we will calculate the prime factors of 10885 and 10897.

Prime Factorization of 10885

Prime factors of 10885 are 5, 7, 311. Prime factorization of 10885 in exponential form is:

10885 = 51 × 71 × 3111

Prime Factorization of 10897

Prime factors of 10897 are 17, 641. Prime factorization of 10897 in exponential form is:

10897 = 171 × 6411

Now multiplying the highest exponent prime factors to calculate the LCM of 10885 and 10897.

LCM(10885,10897) = 51 × 71 × 3111 × 171 × 6411
LCM(10885,10897) = 118613845