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Least Common Multiple of 223 and 233

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 223 and 233 is 51959.

LCM(223,233) = 51959

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Least Common Multiple of 223 and 233 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 223 and 233, than apply into the LCM equation.

GCF(223,233) = 1
LCM(223,233) = ( 223 × 233) / 1
LCM(223,233) = 51959 / 1
LCM(223,233) = 51959

Least Common Multiple (LCM) of 223 and 233 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 223 and 233. First we will calculate the prime factors of 223 and 233.

Prime Factorization of 223

Prime factors of 223 are 223. Prime factorization of 223 in exponential form is:

223 = 2231

Prime Factorization of 233

Prime factors of 233 are 233. Prime factorization of 233 in exponential form is:

233 = 2331

Now multiplying the highest exponent prime factors to calculate the LCM of 223 and 233.

LCM(223,233) = 2231 × 2331
LCM(223,233) = 51959

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