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What is the Least Common Multiple of 65316 and 65328?

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 65316 and 65328 is 355580304.

LCM(65316,65328) = 355580304

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Least Common Multiple of 65316 and 65328 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65316 and 65328, than apply into the LCM equation.

GCF(65316,65328) = 12
LCM(65316,65328) = ( 65316 × 65328) / 12
LCM(65316,65328) = 4266963648 / 12
LCM(65316,65328) = 355580304

Least Common Multiple (LCM) of 65316 and 65328 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65316 and 65328. First we will calculate the prime factors of 65316 and 65328.

Prime Factorization of 65316

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

65316 = 22 × 31 × 54431

Prime Factorization of 65328

Prime factors of 65328 are 2, 3, 1361. Prime factorization of 65328 in exponential form is:

65328 = 24 × 31 × 13611

Now multiplying the highest exponent prime factors to calculate the LCM of 65316 and 65328.

LCM(65316,65328) = 24 × 31 × 54431 × 13611
LCM(65316,65328) = 355580304