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What is the Least Common Multiple of 7289 and 7308?

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 7289 and 7308 is 53268012.

LCM(7289,7308) = 53268012

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Least Common Multiple of 7289 and 7308 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7289 and 7308, than apply into the LCM equation.

GCF(7289,7308) = 1
LCM(7289,7308) = ( 7289 × 7308) / 1
LCM(7289,7308) = 53268012 / 1
LCM(7289,7308) = 53268012

Least Common Multiple (LCM) of 7289 and 7308 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7289 and 7308. First we will calculate the prime factors of 7289 and 7308.

Prime Factorization of 7289

Prime factors of 7289 are 37, 197. Prime factorization of 7289 in exponential form is:

7289 = 371 × 1971

Prime Factorization of 7308

Prime factors of 7308 are 2, 3, 7, 29. Prime factorization of 7308 in exponential form is:

7308 = 22 × 32 × 71 × 291

Now multiplying the highest exponent prime factors to calculate the LCM of 7289 and 7308.

LCM(7289,7308) = 371 × 1971 × 22 × 32 × 71 × 291
LCM(7289,7308) = 53268012