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What is the Least Common Multiple of 8492 and 8511?

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 8492 and 8511 is 72275412.

LCM(8492,8511) = 72275412

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Least Common Multiple of 8492 and 8511 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8492 and 8511, than apply into the LCM equation.

GCF(8492,8511) = 1
LCM(8492,8511) = ( 8492 × 8511) / 1
LCM(8492,8511) = 72275412 / 1
LCM(8492,8511) = 72275412

Least Common Multiple (LCM) of 8492 and 8511 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8492 and 8511. First we will calculate the prime factors of 8492 and 8511.

Prime Factorization of 8492

Prime factors of 8492 are 2, 11, 193. Prime factorization of 8492 in exponential form is:

8492 = 22 × 111 × 1931

Prime Factorization of 8511

Prime factors of 8511 are 3, 2837. Prime factorization of 8511 in exponential form is:

8511 = 31 × 28371

Now multiplying the highest exponent prime factors to calculate the LCM of 8492 and 8511.

LCM(8492,8511) = 22 × 111 × 1931 × 31 × 28371
LCM(8492,8511) = 72275412