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What is the Least Common Multiple of 10796 and 10812?

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 10796 and 10812 is 29181588.

LCM(10796,10812) = 29181588

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Least Common Multiple of 10796 and 10812 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10796 and 10812, than apply into the LCM equation.

GCF(10796,10812) = 4
LCM(10796,10812) = ( 10796 × 10812) / 4
LCM(10796,10812) = 116726352 / 4
LCM(10796,10812) = 29181588

Least Common Multiple (LCM) of 10796 and 10812 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10796 and 10812. First we will calculate the prime factors of 10796 and 10812.

Prime Factorization of 10796

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

10796 = 22 × 26991

Prime Factorization of 10812

Prime factors of 10812 are 2, 3, 17, 53. Prime factorization of 10812 in exponential form is:

10812 = 22 × 31 × 171 × 531

Now multiplying the highest exponent prime factors to calculate the LCM of 10796 and 10812.

LCM(10796,10812) = 22 × 26991 × 31 × 171 × 531
LCM(10796,10812) = 29181588