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What is the Least Common Multiple of 28304 and 28312?

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 28304 and 28312 is 100167856.

LCM(28304,28312) = 100167856

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Least Common Multiple of 28304 and 28312 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28304 and 28312, than apply into the LCM equation.

GCF(28304,28312) = 8
LCM(28304,28312) = ( 28304 × 28312) / 8
LCM(28304,28312) = 801342848 / 8
LCM(28304,28312) = 100167856

Least Common Multiple (LCM) of 28304 and 28312 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28304 and 28312. First we will calculate the prime factors of 28304 and 28312.

Prime Factorization of 28304

Prime factors of 28304 are 2, 29, 61. Prime factorization of 28304 in exponential form is:

28304 = 24 × 291 × 611

Prime Factorization of 28312

Prime factors of 28312 are 2, 3539. Prime factorization of 28312 in exponential form is:

28312 = 23 × 35391

Now multiplying the highest exponent prime factors to calculate the LCM of 28304 and 28312.

LCM(28304,28312) = 24 × 291 × 611 × 35391
LCM(28304,28312) = 100167856