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What is the Least Common Multiple of 7294 and 7311?

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 7294 and 7311 is 53326434.

LCM(7294,7311) = 53326434

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Least Common Multiple of 7294 and 7311 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7294 and 7311, than apply into the LCM equation.

GCF(7294,7311) = 1
LCM(7294,7311) = ( 7294 × 7311) / 1
LCM(7294,7311) = 53326434 / 1
LCM(7294,7311) = 53326434

Least Common Multiple (LCM) of 7294 and 7311 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7294 and 7311. First we will calculate the prime factors of 7294 and 7311.

Prime Factorization of 7294

Prime factors of 7294 are 2, 7, 521. Prime factorization of 7294 in exponential form is:

7294 = 21 × 71 × 5211

Prime Factorization of 7311

Prime factors of 7311 are 3, 2437. Prime factorization of 7311 in exponential form is:

7311 = 31 × 24371

Now multiplying the highest exponent prime factors to calculate the LCM of 7294 and 7311.

LCM(7294,7311) = 21 × 71 × 5211 × 31 × 24371
LCM(7294,7311) = 53326434