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What is the Least Common Multiple of 66810 and 66819?

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 66810 and 66819 is 1488059130.

LCM(66810,66819) = 1488059130

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Least Common Multiple of 66810 and 66819 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66810 and 66819, than apply into the LCM equation.

GCF(66810,66819) = 3
LCM(66810,66819) = ( 66810 × 66819) / 3
LCM(66810,66819) = 4464177390 / 3
LCM(66810,66819) = 1488059130

Least Common Multiple (LCM) of 66810 and 66819 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66810 and 66819. First we will calculate the prime factors of 66810 and 66819.

Prime Factorization of 66810

Prime factors of 66810 are 2, 3, 5, 17, 131. Prime factorization of 66810 in exponential form is:

66810 = 21 × 31 × 51 × 171 × 1311

Prime Factorization of 66819

Prime factors of 66819 are 3, 22273. Prime factorization of 66819 in exponential form is:

66819 = 31 × 222731

Now multiplying the highest exponent prime factors to calculate the LCM of 66810 and 66819.

LCM(66810,66819) = 21 × 31 × 51 × 171 × 1311 × 222731
LCM(66810,66819) = 1488059130