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What is the Least Common Multiple of 10817 and 10836?

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 10817 and 10836 is 117213012.

LCM(10817,10836) = 117213012

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Least Common Multiple of 10817 and 10836 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10817 and 10836, than apply into the LCM equation.

GCF(10817,10836) = 1
LCM(10817,10836) = ( 10817 × 10836) / 1
LCM(10817,10836) = 117213012 / 1
LCM(10817,10836) = 117213012

Least Common Multiple (LCM) of 10817 and 10836 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10817 and 10836. First we will calculate the prime factors of 10817 and 10836.

Prime Factorization of 10817

Prime factors of 10817 are 29, 373. Prime factorization of 10817 in exponential form is:

10817 = 291 × 3731

Prime Factorization of 10836

Prime factors of 10836 are 2, 3, 7, 43. Prime factorization of 10836 in exponential form is:

10836 = 22 × 32 × 71 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 10817 and 10836.

LCM(10817,10836) = 291 × 3731 × 22 × 32 × 71 × 431
LCM(10817,10836) = 117213012