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What is the Least Common Multiple of 28895 and 28915?

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 28895 and 28915 is 167099785.

LCM(28895,28915) = 167099785

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Least Common Multiple of 28895 and 28915 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28895 and 28915, than apply into the LCM equation.

GCF(28895,28915) = 5
LCM(28895,28915) = ( 28895 × 28915) / 5
LCM(28895,28915) = 835498925 / 5
LCM(28895,28915) = 167099785

Least Common Multiple (LCM) of 28895 and 28915 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28895 and 28915. First we will calculate the prime factors of 28895 and 28915.

Prime Factorization of 28895

Prime factors of 28895 are 5, 5779. Prime factorization of 28895 in exponential form is:

28895 = 51 × 57791

Prime Factorization of 28915

Prime factors of 28915 are 5, 5783. Prime factorization of 28915 in exponential form is:

28915 = 51 × 57831

Now multiplying the highest exponent prime factors to calculate the LCM of 28895 and 28915.

LCM(28895,28915) = 51 × 57791 × 57831
LCM(28895,28915) = 167099785