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What is the Least Common Multiple of 2221 and 2234?

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 2221 and 2234 is 4961714.

LCM(2221,2234) = 4961714

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Least Common Multiple of 2221 and 2234 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2221 and 2234, than apply into the LCM equation.

GCF(2221,2234) = 1
LCM(2221,2234) = ( 2221 × 2234) / 1
LCM(2221,2234) = 4961714 / 1
LCM(2221,2234) = 4961714

Least Common Multiple (LCM) of 2221 and 2234 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2221 and 2234. First we will calculate the prime factors of 2221 and 2234.

Prime Factorization of 2221

Prime factors of 2221 are 2221. Prime factorization of 2221 in exponential form is:

2221 = 22211

Prime Factorization of 2234

Prime factors of 2234 are 2, 1117. Prime factorization of 2234 in exponential form is:

2234 = 21 × 11171

Now multiplying the highest exponent prime factors to calculate the LCM of 2221 and 2234.

LCM(2221,2234) = 22211 × 21 × 11171
LCM(2221,2234) = 4961714