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What is the Least Common Multiple of 66217 and 66222?

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 66217 and 66222 is 4385022174.

LCM(66217,66222) = 4385022174

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Least Common Multiple of 66217 and 66222 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66217 and 66222, than apply into the LCM equation.

GCF(66217,66222) = 1
LCM(66217,66222) = ( 66217 × 66222) / 1
LCM(66217,66222) = 4385022174 / 1
LCM(66217,66222) = 4385022174

Least Common Multiple (LCM) of 66217 and 66222 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66217 and 66222. First we will calculate the prime factors of 66217 and 66222.

Prime Factorization of 66217

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

66217 = 231 × 28791

Prime Factorization of 66222

Prime factors of 66222 are 2, 3, 13, 283. Prime factorization of 66222 in exponential form is:

66222 = 21 × 32 × 131 × 2831

Now multiplying the highest exponent prime factors to calculate the LCM of 66217 and 66222.

LCM(66217,66222) = 231 × 28791 × 21 × 32 × 131 × 2831
LCM(66217,66222) = 4385022174