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What is the Least Common Multiple of 66223 and 66233?

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 66223 and 66233 is 4386147959.

LCM(66223,66233) = 4386147959

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Least Common Multiple of 66223 and 66233 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66223 and 66233, than apply into the LCM equation.

GCF(66223,66233) = 1
LCM(66223,66233) = ( 66223 × 66233) / 1
LCM(66223,66233) = 4386147959 / 1
LCM(66223,66233) = 4386147959

Least Common Multiple (LCM) of 66223 and 66233 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66223 and 66233. First we will calculate the prime factors of 66223 and 66233.

Prime Factorization of 66223

Prime factors of 66223 are 47, 1409. Prime factorization of 66223 in exponential form is:

66223 = 471 × 14091

Prime Factorization of 66233

Prime factors of 66233 are 107, 619. Prime factorization of 66233 in exponential form is:

66233 = 1071 × 6191

Now multiplying the highest exponent prime factors to calculate the LCM of 66223 and 66233.

LCM(66223,66233) = 471 × 14091 × 1071 × 6191
LCM(66223,66233) = 4386147959