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What is the Least Common Multiple of 10776 and 10796?

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 10776 and 10796 is 29084424.

LCM(10776,10796) = 29084424

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Least Common Multiple of 10776 and 10796 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10776 and 10796, than apply into the LCM equation.

GCF(10776,10796) = 4
LCM(10776,10796) = ( 10776 × 10796) / 4
LCM(10776,10796) = 116337696 / 4
LCM(10776,10796) = 29084424

Least Common Multiple (LCM) of 10776 and 10796 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10776 and 10796. First we will calculate the prime factors of 10776 and 10796.

Prime Factorization of 10776

Prime factors of 10776 are 2, 3, 449. Prime factorization of 10776 in exponential form is:

10776 = 23 × 31 × 4491

Prime Factorization of 10796

Prime factors of 10796 are 2, 2699. Prime factorization of 10796 in exponential form is:

10796 = 22 × 26991

Now multiplying the highest exponent prime factors to calculate the LCM of 10776 and 10796.

LCM(10776,10796) = 23 × 31 × 4491 × 26991
LCM(10776,10796) = 29084424