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What is the Least Common Multiple of 10811 and 10816?

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 10811 and 10816 is 116931776.

LCM(10811,10816) = 116931776

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Least Common Multiple of 10811 and 10816 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10811 and 10816, than apply into the LCM equation.

GCF(10811,10816) = 1
LCM(10811,10816) = ( 10811 × 10816) / 1
LCM(10811,10816) = 116931776 / 1
LCM(10811,10816) = 116931776

Least Common Multiple (LCM) of 10811 and 10816 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10811 and 10816. First we will calculate the prime factors of 10811 and 10816.

Prime Factorization of 10811

Prime factors of 10811 are 19, 569. Prime factorization of 10811 in exponential form is:

10811 = 191 × 5691

Prime Factorization of 10816

Prime factors of 10816 are 2, 13. Prime factorization of 10816 in exponential form is:

10816 = 26 × 132

Now multiplying the highest exponent prime factors to calculate the LCM of 10811 and 10816.

LCM(10811,10816) = 191 × 5691 × 26 × 132
LCM(10811,10816) = 116931776