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What is the Least Common Multiple of 28760 and 28767?

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 28760 and 28767 is 827338920.

LCM(28760,28767) = 827338920

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Least Common Multiple of 28760 and 28767 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28760 and 28767, than apply into the LCM equation.

GCF(28760,28767) = 1
LCM(28760,28767) = ( 28760 × 28767) / 1
LCM(28760,28767) = 827338920 / 1
LCM(28760,28767) = 827338920

Least Common Multiple (LCM) of 28760 and 28767 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28760 and 28767. First we will calculate the prime factors of 28760 and 28767.

Prime Factorization of 28760

Prime factors of 28760 are 2, 5, 719. Prime factorization of 28760 in exponential form is:

28760 = 23 × 51 × 7191

Prime Factorization of 28767

Prime factors of 28767 are 3, 43, 223. Prime factorization of 28767 in exponential form is:

28767 = 31 × 431 × 2231

Now multiplying the highest exponent prime factors to calculate the LCM of 28760 and 28767.

LCM(28760,28767) = 23 × 51 × 7191 × 31 × 431 × 2231
LCM(28760,28767) = 827338920