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What is the Least Common Multiple of 7229 and 7241?

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 7229 and 7241 is 52345189.

LCM(7229,7241) = 52345189

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Least Common Multiple of 7229 and 7241 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7229 and 7241, than apply into the LCM equation.

GCF(7229,7241) = 1
LCM(7229,7241) = ( 7229 × 7241) / 1
LCM(7229,7241) = 52345189 / 1
LCM(7229,7241) = 52345189

Least Common Multiple (LCM) of 7229 and 7241 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7229 and 7241. First we will calculate the prime factors of 7229 and 7241.

Prime Factorization of 7229

Prime factors of 7229 are 7229. Prime factorization of 7229 in exponential form is:

7229 = 72291

Prime Factorization of 7241

Prime factors of 7241 are 13, 557. Prime factorization of 7241 in exponential form is:

7241 = 131 × 5571

Now multiplying the highest exponent prime factors to calculate the LCM of 7229 and 7241.

LCM(7229,7241) = 72291 × 131 × 5571
LCM(7229,7241) = 52345189