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What is the Least Common Multiple of 10816 and 10820?

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 10816 and 10820 is 29257280.

LCM(10816,10820) = 29257280

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Least Common Multiple of 10816 and 10820 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10816 and 10820, than apply into the LCM equation.

GCF(10816,10820) = 4
LCM(10816,10820) = ( 10816 × 10820) / 4
LCM(10816,10820) = 117029120 / 4
LCM(10816,10820) = 29257280

Least Common Multiple (LCM) of 10816 and 10820 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10816 and 10820. First we will calculate the prime factors of 10816 and 10820.

Prime Factorization of 10816

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

10816 = 26 × 132

Prime Factorization of 10820

Prime factors of 10820 are 2, 5, 541. Prime factorization of 10820 in exponential form is:

10820 = 22 × 51 × 5411

Now multiplying the highest exponent prime factors to calculate the LCM of 10816 and 10820.

LCM(10816,10820) = 26 × 132 × 51 × 5411
LCM(10816,10820) = 29257280