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What is the Least Common Multiple of 66682 and 66691?

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 66682 and 66691 is 4447089262.

LCM(66682,66691) = 4447089262

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Least Common Multiple of 66682 and 66691 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66682 and 66691, than apply into the LCM equation.

GCF(66682,66691) = 1
LCM(66682,66691) = ( 66682 × 66691) / 1
LCM(66682,66691) = 4447089262 / 1
LCM(66682,66691) = 4447089262

Least Common Multiple (LCM) of 66682 and 66691 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66682 and 66691. First we will calculate the prime factors of 66682 and 66691.

Prime Factorization of 66682

Prime factors of 66682 are 2, 7, 11, 433. Prime factorization of 66682 in exponential form is:

66682 = 21 × 71 × 111 × 4331

Prime Factorization of 66691

Prime factors of 66691 are 17, 3923. Prime factorization of 66691 in exponential form is:

66691 = 171 × 39231

Now multiplying the highest exponent prime factors to calculate the LCM of 66682 and 66691.

LCM(66682,66691) = 21 × 71 × 111 × 4331 × 171 × 39231
LCM(66682,66691) = 4447089262