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What is the Least Common Multiple of 2238 and 2255?

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 2238 and 2255 is 5046690.

LCM(2238,2255) = 5046690

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Least Common Multiple of 2238 and 2255 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2238 and 2255, than apply into the LCM equation.

GCF(2238,2255) = 1
LCM(2238,2255) = ( 2238 × 2255) / 1
LCM(2238,2255) = 5046690 / 1
LCM(2238,2255) = 5046690

Least Common Multiple (LCM) of 2238 and 2255 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2238 and 2255. First we will calculate the prime factors of 2238 and 2255.

Prime Factorization of 2238

Prime factors of 2238 are 2, 3, 373. Prime factorization of 2238 in exponential form is:

2238 = 21 × 31 × 3731

Prime Factorization of 2255

Prime factors of 2255 are 5, 11, 41. Prime factorization of 2255 in exponential form is:

2255 = 51 × 111 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 2238 and 2255.

LCM(2238,2255) = 21 × 31 × 3731 × 51 × 111 × 411
LCM(2238,2255) = 5046690