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What is the Least Common Multiple of 7267 and 7279?

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 7279 is 52896493.

LCM(7267,7279) = 52896493

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Least Common Multiple of 7267 and 7279 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 7279, than apply into the LCM equation.

GCF(7267,7279) = 1
LCM(7267,7279) = ( 7267 × 7279) / 1
LCM(7267,7279) = 52896493 / 1
LCM(7267,7279) = 52896493

Least Common Multiple (LCM) of 7267 and 7279 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7267 and 7279. First we will calculate the prime factors of 7267 and 7279.

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 7279

Prime factors of 7279 are 29, 251. Prime factorization of 7279 in exponential form is:

7279 = 291 × 2511

Now multiplying the highest exponent prime factors to calculate the LCM of 7267 and 7279.

LCM(7267,7279) = 132 × 431 × 291 × 2511
LCM(7267,7279) = 52896493