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What is the Least Common Multiple of 66810 and 66830?

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 66830 is 446491230.

LCM(66810,66830) = 446491230

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Least Common Multiple of 66810 and 66830 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 66830, than apply into the LCM equation.

GCF(66810,66830) = 10
LCM(66810,66830) = ( 66810 × 66830) / 10
LCM(66810,66830) = 4464912300 / 10
LCM(66810,66830) = 446491230

Least Common Multiple (LCM) of 66810 and 66830 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66810 and 66830. First we will calculate the prime factors of 66810 and 66830.

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 66830

Prime factors of 66830 are 2, 5, 41, 163. Prime factorization of 66830 in exponential form is:

66830 = 21 × 51 × 411 × 1631

Now multiplying the highest exponent prime factors to calculate the LCM of 66810 and 66830.

LCM(66810,66830) = 21 × 31 × 51 × 171 × 1311 × 411 × 1631
LCM(66810,66830) = 446491230