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What is the Least Common Multiple of 28260 and 28266?

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 28260 and 28266 is 133132860.

LCM(28260,28266) = 133132860

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Least Common Multiple of 28260 and 28266 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28260 and 28266, than apply into the LCM equation.

GCF(28260,28266) = 6
LCM(28260,28266) = ( 28260 × 28266) / 6
LCM(28260,28266) = 798797160 / 6
LCM(28260,28266) = 133132860

Least Common Multiple (LCM) of 28260 and 28266 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28260 and 28266. First we will calculate the prime factors of 28260 and 28266.

Prime Factorization of 28260

Prime factors of 28260 are 2, 3, 5, 157. Prime factorization of 28260 in exponential form is:

28260 = 22 × 32 × 51 × 1571

Prime Factorization of 28266

Prime factors of 28266 are 2, 3, 7, 673. Prime factorization of 28266 in exponential form is:

28266 = 21 × 31 × 71 × 6731

Now multiplying the highest exponent prime factors to calculate the LCM of 28260 and 28266.

LCM(28260,28266) = 22 × 32 × 51 × 1571 × 71 × 6731
LCM(28260,28266) = 133132860