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What is the Least Common Multiple of 65219 and 65238?

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 65219 and 65238 is 4254757122.

LCM(65219,65238) = 4254757122

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Least Common Multiple of 65219 and 65238 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65219 and 65238, than apply into the LCM equation.

GCF(65219,65238) = 1
LCM(65219,65238) = ( 65219 × 65238) / 1
LCM(65219,65238) = 4254757122 / 1
LCM(65219,65238) = 4254757122

Least Common Multiple (LCM) of 65219 and 65238 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65219 and 65238. First we will calculate the prime factors of 65219 and 65238.

Prime Factorization of 65219

Prime factors of 65219 are 7, 11. Prime factorization of 65219 in exponential form is:

65219 = 72 × 113

Prime Factorization of 65238

Prime factors of 65238 are 2, 3, 83, 131. Prime factorization of 65238 in exponential form is:

65238 = 21 × 31 × 831 × 1311

Now multiplying the highest exponent prime factors to calculate the LCM of 65219 and 65238.

LCM(65219,65238) = 72 × 113 × 21 × 31 × 831 × 1311
LCM(65219,65238) = 4254757122