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What is the Least Common Multiple of 7289 and 7307?

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 7307 is 53260723.

LCM(7289,7307) = 53260723

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Least Common Multiple of 7289 and 7307 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 7307, than apply into the LCM equation.

GCF(7289,7307) = 1
LCM(7289,7307) = ( 7289 × 7307) / 1
LCM(7289,7307) = 53260723 / 1
LCM(7289,7307) = 53260723

Least Common Multiple (LCM) of 7289 and 7307 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7289 and 7307. First we will calculate the prime factors of 7289 and 7307.

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 7307

Prime factors of 7307 are 7307. Prime factorization of 7307 in exponential form is:

7307 = 73071

Now multiplying the highest exponent prime factors to calculate the LCM of 7289 and 7307.

LCM(7289,7307) = 371 × 1971 × 73071
LCM(7289,7307) = 53260723