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What is the Least Common Multiple of 7273 and 7286?

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 7273 and 7286 is 52991078.

LCM(7273,7286) = 52991078

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Least Common Multiple of 7273 and 7286 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7273 and 7286, than apply into the LCM equation.

GCF(7273,7286) = 1
LCM(7273,7286) = ( 7273 × 7286) / 1
LCM(7273,7286) = 52991078 / 1
LCM(7273,7286) = 52991078

Least Common Multiple (LCM) of 7273 and 7286 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7273 and 7286. First we will calculate the prime factors of 7273 and 7286.

Prime Factorization of 7273

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

7273 = 71 × 10391

Prime Factorization of 7286

Prime factors of 7286 are 2, 3643. Prime factorization of 7286 in exponential form is:

7286 = 21 × 36431

Now multiplying the highest exponent prime factors to calculate the LCM of 7273 and 7286.

LCM(7273,7286) = 71 × 10391 × 21 × 36431
LCM(7273,7286) = 52991078