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What is the Least Common Multiple of 12892 and 12900?

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 12892 and 12900 is 41576700.

LCM(12892,12900) = 41576700

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Least Common Multiple of 12892 and 12900 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12892 and 12900, than apply into the LCM equation.

GCF(12892,12900) = 4
LCM(12892,12900) = ( 12892 × 12900) / 4
LCM(12892,12900) = 166306800 / 4
LCM(12892,12900) = 41576700

Least Common Multiple (LCM) of 12892 and 12900 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12892 and 12900. First we will calculate the prime factors of 12892 and 12900.

Prime Factorization of 12892

Prime factors of 12892 are 2, 11, 293. Prime factorization of 12892 in exponential form is:

12892 = 22 × 111 × 2931

Prime Factorization of 12900

Prime factors of 12900 are 2, 3, 5, 43. Prime factorization of 12900 in exponential form is:

12900 = 22 × 31 × 52 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 12892 and 12900.

LCM(12892,12900) = 22 × 111 × 2931 × 31 × 52 × 431
LCM(12892,12900) = 41576700