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What is the Least Common Multiple of 7267 and 7273?

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 7267 and 7273 is 52852891.

LCM(7267,7273) = 52852891

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Least Common Multiple of 7267 and 7273 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7267 and 7273, than apply into the LCM equation.

GCF(7267,7273) = 1
LCM(7267,7273) = ( 7267 × 7273) / 1
LCM(7267,7273) = 52852891 / 1
LCM(7267,7273) = 52852891

Least Common Multiple (LCM) of 7267 and 7273 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7267 and 7273. First we will calculate the prime factors of 7267 and 7273.

Prime Factorization of 7267

Prime factors of 7267 are 13, 43. Prime factorization of 7267 in exponential form is:

7267 = 132 × 431

Prime Factorization of 7273

Prime factors of 7273 are 7, 1039. Prime factorization of 7273 in exponential form is:

7273 = 71 × 10391

Now multiplying the highest exponent prime factors to calculate the LCM of 7267 and 7273.

LCM(7267,7273) = 132 × 431 × 71 × 10391
LCM(7267,7273) = 52852891