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What is the Least Common Multiple of 10889 and 10901?

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 10889 and 10901 is 118700989.

LCM(10889,10901) = 118700989

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Least Common Multiple of 10889 and 10901 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10889 and 10901, than apply into the LCM equation.

GCF(10889,10901) = 1
LCM(10889,10901) = ( 10889 × 10901) / 1
LCM(10889,10901) = 118700989 / 1
LCM(10889,10901) = 118700989

Least Common Multiple (LCM) of 10889 and 10901 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10889 and 10901. First we will calculate the prime factors of 10889 and 10901.

Prime Factorization of 10889

Prime factors of 10889 are 10889. Prime factorization of 10889 in exponential form is:

10889 = 108891

Prime Factorization of 10901

Prime factors of 10901 are 11, 991. Prime factorization of 10901 in exponential form is:

10901 = 111 × 9911

Now multiplying the highest exponent prime factors to calculate the LCM of 10889 and 10901.

LCM(10889,10901) = 108891 × 111 × 9911
LCM(10889,10901) = 118700989