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What is the Least Common Multiple of 7229 and 7245?

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 7245 is 52374105.

LCM(7229,7245) = 52374105

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Least Common Multiple of 7229 and 7245 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 7245, than apply into the LCM equation.

GCF(7229,7245) = 1
LCM(7229,7245) = ( 7229 × 7245) / 1
LCM(7229,7245) = 52374105 / 1
LCM(7229,7245) = 52374105

Least Common Multiple (LCM) of 7229 and 7245 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7229 and 7245. First we will calculate the prime factors of 7229 and 7245.

Prime Factorization of 7229

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

7229 = 72291

Prime Factorization of 7245

Prime factors of 7245 are 3, 5, 7, 23. Prime factorization of 7245 in exponential form is:

7245 = 32 × 51 × 71 × 231

Now multiplying the highest exponent prime factors to calculate the LCM of 7229 and 7245.

LCM(7229,7245) = 72291 × 32 × 51 × 71 × 231
LCM(7229,7245) = 52374105