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What is the Least Common Multiple of 7334 and 7339?

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 7334 and 7339 is 53824226.

LCM(7334,7339) = 53824226

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Least Common Multiple of 7334 and 7339 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7334 and 7339, than apply into the LCM equation.

GCF(7334,7339) = 1
LCM(7334,7339) = ( 7334 × 7339) / 1
LCM(7334,7339) = 53824226 / 1
LCM(7334,7339) = 53824226

Least Common Multiple (LCM) of 7334 and 7339 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7334 and 7339. First we will calculate the prime factors of 7334 and 7339.

Prime Factorization of 7334

Prime factors of 7334 are 2, 19, 193. Prime factorization of 7334 in exponential form is:

7334 = 21 × 191 × 1931

Prime Factorization of 7339

Prime factors of 7339 are 41, 179. Prime factorization of 7339 in exponential form is:

7339 = 411 × 1791

Now multiplying the highest exponent prime factors to calculate the LCM of 7334 and 7339.

LCM(7334,7339) = 21 × 191 × 1931 × 411 × 1791
LCM(7334,7339) = 53824226