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What is the Least Common Multiple of 28660 and 28665?

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 28660 and 28665 is 164307780.

LCM(28660,28665) = 164307780

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Least Common Multiple of 28660 and 28665 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28660 and 28665, than apply into the LCM equation.

GCF(28660,28665) = 5
LCM(28660,28665) = ( 28660 × 28665) / 5
LCM(28660,28665) = 821538900 / 5
LCM(28660,28665) = 164307780

Least Common Multiple (LCM) of 28660 and 28665 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28660 and 28665. First we will calculate the prime factors of 28660 and 28665.

Prime Factorization of 28660

Prime factors of 28660 are 2, 5, 1433. Prime factorization of 28660 in exponential form is:

28660 = 22 × 51 × 14331

Prime Factorization of 28665

Prime factors of 28665 are 3, 5, 7, 13. Prime factorization of 28665 in exponential form is:

28665 = 32 × 51 × 72 × 131

Now multiplying the highest exponent prime factors to calculate the LCM of 28660 and 28665.

LCM(28660,28665) = 22 × 51 × 14331 × 32 × 72 × 131
LCM(28660,28665) = 164307780