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What is the Least Common Multiple of 10898 and 10917?

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 10917 is 118973466.

LCM(10898,10917) = 118973466

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Least Common Multiple of 10898 and 10917 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 10917, than apply into the LCM equation.

GCF(10898,10917) = 1
LCM(10898,10917) = ( 10898 × 10917) / 1
LCM(10898,10917) = 118973466 / 1
LCM(10898,10917) = 118973466

Least Common Multiple (LCM) of 10898 and 10917 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10898 and 10917. First we will calculate the prime factors of 10898 and 10917.

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 10917

Prime factors of 10917 are 3, 1213. Prime factorization of 10917 in exponential form is:

10917 = 32 × 12131

Now multiplying the highest exponent prime factors to calculate the LCM of 10898 and 10917.

LCM(10898,10917) = 21 × 54491 × 32 × 12131
LCM(10898,10917) = 118973466