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What is the Least Common Multiple of 65319 and 65338?

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 65319 and 65338 is 4267812822.

LCM(65319,65338) = 4267812822

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Least Common Multiple of 65319 and 65338 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65319 and 65338, than apply into the LCM equation.

GCF(65319,65338) = 1
LCM(65319,65338) = ( 65319 × 65338) / 1
LCM(65319,65338) = 4267812822 / 1
LCM(65319,65338) = 4267812822

Least Common Multiple (LCM) of 65319 and 65338 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65319 and 65338. First we will calculate the prime factors of 65319 and 65338.

Prime Factorization of 65319

Prime factors of 65319 are 3, 21773. Prime factorization of 65319 in exponential form is:

65319 = 31 × 217731

Prime Factorization of 65338

Prime factors of 65338 are 2, 7, 13, 359. Prime factorization of 65338 in exponential form is:

65338 = 21 × 71 × 131 × 3591

Now multiplying the highest exponent prime factors to calculate the LCM of 65319 and 65338.

LCM(65319,65338) = 31 × 217731 × 21 × 71 × 131 × 3591
LCM(65319,65338) = 4267812822