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What is the Least Common Multiple of 10812 and 10827?

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 10812 and 10827 is 39020508.

LCM(10812,10827) = 39020508

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Least Common Multiple of 10812 and 10827 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10812 and 10827, than apply into the LCM equation.

GCF(10812,10827) = 3
LCM(10812,10827) = ( 10812 × 10827) / 3
LCM(10812,10827) = 117061524 / 3
LCM(10812,10827) = 39020508

Least Common Multiple (LCM) of 10812 and 10827 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10812 and 10827. First we will calculate the prime factors of 10812 and 10827.

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

Prime Factorization of 10827

Prime factors of 10827 are 3, 401. Prime factorization of 10827 in exponential form is:

10827 = 33 × 4011

Now multiplying the highest exponent prime factors to calculate the LCM of 10812 and 10827.

LCM(10812,10827) = 22 × 33 × 171 × 531 × 4011
LCM(10812,10827) = 39020508