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What is the Least Common Multiple of 65304 and 65316?

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 65304 and 65316 is 355449672.

LCM(65304,65316) = 355449672

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Least Common Multiple of 65304 and 65316 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65304 and 65316, than apply into the LCM equation.

GCF(65304,65316) = 12
LCM(65304,65316) = ( 65304 × 65316) / 12
LCM(65304,65316) = 4265396064 / 12
LCM(65304,65316) = 355449672

Least Common Multiple (LCM) of 65304 and 65316 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65304 and 65316. First we will calculate the prime factors of 65304 and 65316.

Prime Factorization of 65304

Prime factors of 65304 are 2, 3, 907. Prime factorization of 65304 in exponential form is:

65304 = 23 × 32 × 9071

Prime Factorization of 65316

Prime factors of 65316 are 2, 3, 5443. Prime factorization of 65316 in exponential form is:

65316 = 22 × 31 × 54431

Now multiplying the highest exponent prime factors to calculate the LCM of 65304 and 65316.

LCM(65304,65316) = 23 × 32 × 9071 × 54431
LCM(65304,65316) = 355449672