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What is the Least Common Multiple of 66259 and 66275?

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 66259 and 66275 is 4391315225.

LCM(66259,66275) = 4391315225

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Least Common Multiple of 66259 and 66275 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66259 and 66275, than apply into the LCM equation.

GCF(66259,66275) = 1
LCM(66259,66275) = ( 66259 × 66275) / 1
LCM(66259,66275) = 4391315225 / 1
LCM(66259,66275) = 4391315225

Least Common Multiple (LCM) of 66259 and 66275 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66259 and 66275. First we will calculate the prime factors of 66259 and 66275.

Prime Factorization of 66259

Prime factors of 66259 are 173, 383. Prime factorization of 66259 in exponential form is:

66259 = 1731 × 3831

Prime Factorization of 66275

Prime factors of 66275 are 5, 11, 241. Prime factorization of 66275 in exponential form is:

66275 = 52 × 111 × 2411

Now multiplying the highest exponent prime factors to calculate the LCM of 66259 and 66275.

LCM(66259,66275) = 1731 × 3831 × 52 × 111 × 2411
LCM(66259,66275) = 4391315225