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What is the Least Common Multiple of 10484 and 10491?

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 10484 and 10491 is 109987644.

LCM(10484,10491) = 109987644

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Least Common Multiple of 10484 and 10491 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10484 and 10491, than apply into the LCM equation.

GCF(10484,10491) = 1
LCM(10484,10491) = ( 10484 × 10491) / 1
LCM(10484,10491) = 109987644 / 1
LCM(10484,10491) = 109987644

Least Common Multiple (LCM) of 10484 and 10491 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10484 and 10491. First we will calculate the prime factors of 10484 and 10491.

Prime Factorization of 10484

Prime factors of 10484 are 2, 2621. Prime factorization of 10484 in exponential form is:

10484 = 22 × 26211

Prime Factorization of 10491

Prime factors of 10491 are 3, 13, 269. Prime factorization of 10491 in exponential form is:

10491 = 31 × 131 × 2691

Now multiplying the highest exponent prime factors to calculate the LCM of 10484 and 10491.

LCM(10484,10491) = 22 × 26211 × 31 × 131 × 2691
LCM(10484,10491) = 109987644