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What is the Least Common Multiple of 2227 and 2239?

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 2227 and 2239 is 4986253.

LCM(2227,2239) = 4986253

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Least Common Multiple of 2227 and 2239 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2227 and 2239, than apply into the LCM equation.

GCF(2227,2239) = 1
LCM(2227,2239) = ( 2227 × 2239) / 1
LCM(2227,2239) = 4986253 / 1
LCM(2227,2239) = 4986253

Least Common Multiple (LCM) of 2227 and 2239 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2227 and 2239. First we will calculate the prime factors of 2227 and 2239.

Prime Factorization of 2227

Prime factors of 2227 are 17, 131. Prime factorization of 2227 in exponential form is:

2227 = 171 × 1311

Prime Factorization of 2239

Prime factors of 2239 are 2239. Prime factorization of 2239 in exponential form is:

2239 = 22391

Now multiplying the highest exponent prime factors to calculate the LCM of 2227 and 2239.

LCM(2227,2239) = 171 × 1311 × 22391
LCM(2227,2239) = 4986253