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What is the Least Common Multiple of 66082 and 66102?

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 66082 and 66102 is 2184076182.

LCM(66082,66102) = 2184076182

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Least Common Multiple of 66082 and 66102 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66082 and 66102, than apply into the LCM equation.

GCF(66082,66102) = 2
LCM(66082,66102) = ( 66082 × 66102) / 2
LCM(66082,66102) = 4368152364 / 2
LCM(66082,66102) = 2184076182

Least Common Multiple (LCM) of 66082 and 66102 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66082 and 66102. First we will calculate the prime factors of 66082 and 66102.

Prime Factorization of 66082

Prime factors of 66082 are 2, 19, 37, 47. Prime factorization of 66082 in exponential form is:

66082 = 21 × 191 × 371 × 471

Prime Factorization of 66102

Prime factors of 66102 are 2, 3, 23, 479. Prime factorization of 66102 in exponential form is:

66102 = 21 × 31 × 231 × 4791

Now multiplying the highest exponent prime factors to calculate the LCM of 66082 and 66102.

LCM(66082,66102) = 21 × 191 × 371 × 471 × 31 × 231 × 4791
LCM(66082,66102) = 2184076182