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What is the Least Common Multiple of 10898 and 10903?

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 10898 and 10903 is 118820894.

LCM(10898,10903) = 118820894

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Least Common Multiple of 10898 and 10903 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10898 and 10903, than apply into the LCM equation.

GCF(10898,10903) = 1
LCM(10898,10903) = ( 10898 × 10903) / 1
LCM(10898,10903) = 118820894 / 1
LCM(10898,10903) = 118820894

Least Common Multiple (LCM) of 10898 and 10903 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10898 and 10903. First we will calculate the prime factors of 10898 and 10903.

Prime Factorization of 10898

Prime factors of 10898 are 2, 5449. Prime factorization of 10898 in exponential form is:

10898 = 21 × 54491

Prime Factorization of 10903

Prime factors of 10903 are 10903. Prime factorization of 10903 in exponential form is:

10903 = 109031

Now multiplying the highest exponent prime factors to calculate the LCM of 10898 and 10903.

LCM(10898,10903) = 21 × 54491 × 109031
LCM(10898,10903) = 118820894