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What is the Least Common Multiple of 2238 and 2254?

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 2254 is 2522226.

LCM(2238,2254) = 2522226

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Least Common Multiple of 2238 and 2254 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 2254, than apply into the LCM equation.

GCF(2238,2254) = 2
LCM(2238,2254) = ( 2238 × 2254) / 2
LCM(2238,2254) = 5044452 / 2
LCM(2238,2254) = 2522226

Least Common Multiple (LCM) of 2238 and 2254 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2238 and 2254. First we will calculate the prime factors of 2238 and 2254.

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 2254

Prime factors of 2254 are 2, 7, 23. Prime factorization of 2254 in exponential form is:

2254 = 21 × 72 × 231

Now multiplying the highest exponent prime factors to calculate the LCM of 2238 and 2254.

LCM(2238,2254) = 21 × 31 × 3731 × 72 × 231
LCM(2238,2254) = 2522226