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What is the Least Common Multiple of 28765 and 28775?

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 28765 and 28775 is 165542575.

LCM(28765,28775) = 165542575

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Least Common Multiple of 28765 and 28775 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28765 and 28775, than apply into the LCM equation.

GCF(28765,28775) = 5
LCM(28765,28775) = ( 28765 × 28775) / 5
LCM(28765,28775) = 827712875 / 5
LCM(28765,28775) = 165542575

Least Common Multiple (LCM) of 28765 and 28775 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28765 and 28775. First we will calculate the prime factors of 28765 and 28775.

Prime Factorization of 28765

Prime factors of 28765 are 5, 11, 523. Prime factorization of 28765 in exponential form is:

28765 = 51 × 111 × 5231

Prime Factorization of 28775

Prime factors of 28775 are 5, 1151. Prime factorization of 28775 in exponential form is:

28775 = 52 × 11511

Now multiplying the highest exponent prime factors to calculate the LCM of 28765 and 28775.

LCM(28765,28775) = 52 × 111 × 5231 × 11511
LCM(28765,28775) = 165542575