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What is the Least Common Multiple of 66213 and 66217?

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 66213 and 66217 is 4384426221.

LCM(66213,66217) = 4384426221

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Least Common Multiple of 66213 and 66217 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66213 and 66217, than apply into the LCM equation.

GCF(66213,66217) = 1
LCM(66213,66217) = ( 66213 × 66217) / 1
LCM(66213,66217) = 4384426221 / 1
LCM(66213,66217) = 4384426221

Least Common Multiple (LCM) of 66213 and 66217 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66213 and 66217. First we will calculate the prime factors of 66213 and 66217.

Prime Factorization of 66213

Prime factors of 66213 are 3, 7, 1051. Prime factorization of 66213 in exponential form is:

66213 = 32 × 71 × 10511

Prime Factorization of 66217

Prime factors of 66217 are 23, 2879. Prime factorization of 66217 in exponential form is:

66217 = 231 × 28791

Now multiplying the highest exponent prime factors to calculate the LCM of 66213 and 66217.

LCM(66213,66217) = 32 × 71 × 10511 × 231 × 28791
LCM(66213,66217) = 4384426221