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What is the Least Common Multiple of 66222 and 66228?

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 66222 and 66228 is 730958436.

LCM(66222,66228) = 730958436

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Least Common Multiple of 66222 and 66228 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66222 and 66228, than apply into the LCM equation.

GCF(66222,66228) = 6
LCM(66222,66228) = ( 66222 × 66228) / 6
LCM(66222,66228) = 4385750616 / 6
LCM(66222,66228) = 730958436

Least Common Multiple (LCM) of 66222 and 66228 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66222 and 66228. First we will calculate the prime factors of 66222 and 66228.

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

Prime Factorization of 66228

Prime factors of 66228 are 2, 3, 5519. Prime factorization of 66228 in exponential form is:

66228 = 22 × 31 × 55191

Now multiplying the highest exponent prime factors to calculate the LCM of 66222 and 66228.

LCM(66222,66228) = 22 × 32 × 131 × 2831 × 55191
LCM(66222,66228) = 730958436