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What is the Least Common Multiple of 66823 and 66829?

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 66823 and 66829 is 4465714267.

LCM(66823,66829) = 4465714267

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Least Common Multiple of 66823 and 66829 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66823 and 66829, than apply into the LCM equation.

GCF(66823,66829) = 1
LCM(66823,66829) = ( 66823 × 66829) / 1
LCM(66823,66829) = 4465714267 / 1
LCM(66823,66829) = 4465714267

Least Common Multiple (LCM) of 66823 and 66829 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66823 and 66829. First we will calculate the prime factors of 66823 and 66829.

Prime Factorization of 66823

Prime factors of 66823 are 19, 3517. Prime factorization of 66823 in exponential form is:

66823 = 191 × 35171

Prime Factorization of 66829

Prime factors of 66829 are 7, 9547. Prime factorization of 66829 in exponential form is:

66829 = 71 × 95471

Now multiplying the highest exponent prime factors to calculate the LCM of 66823 and 66829.

LCM(66823,66829) = 191 × 35171 × 71 × 95471
LCM(66823,66829) = 4465714267