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What is the Least Common Multiple of 2223 and 2230?

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 2223 and 2230 is 4957290.

LCM(2223,2230) = 4957290

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Least Common Multiple of 2223 and 2230 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2223 and 2230, than apply into the LCM equation.

GCF(2223,2230) = 1
LCM(2223,2230) = ( 2223 × 2230) / 1
LCM(2223,2230) = 4957290 / 1
LCM(2223,2230) = 4957290

Least Common Multiple (LCM) of 2223 and 2230 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2223 and 2230. First we will calculate the prime factors of 2223 and 2230.

Prime Factorization of 2223

Prime factors of 2223 are 3, 13, 19. Prime factorization of 2223 in exponential form is:

2223 = 32 × 131 × 191

Prime Factorization of 2230

Prime factors of 2230 are 2, 5, 223. Prime factorization of 2230 in exponential form is:

2230 = 21 × 51 × 2231

Now multiplying the highest exponent prime factors to calculate the LCM of 2223 and 2230.

LCM(2223,2230) = 32 × 131 × 191 × 21 × 51 × 2231
LCM(2223,2230) = 4957290