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What is the Least Common Multiple of 65230 and 65243?

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 65230 and 65243 is 4255800890.

LCM(65230,65243) = 4255800890

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Least Common Multiple of 65230 and 65243 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65230 and 65243, than apply into the LCM equation.

GCF(65230,65243) = 1
LCM(65230,65243) = ( 65230 × 65243) / 1
LCM(65230,65243) = 4255800890 / 1
LCM(65230,65243) = 4255800890

Least Common Multiple (LCM) of 65230 and 65243 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65230 and 65243. First we will calculate the prime factors of 65230 and 65243.

Prime Factorization of 65230

Prime factors of 65230 are 2, 5, 11, 593. Prime factorization of 65230 in exponential form is:

65230 = 21 × 51 × 111 × 5931

Prime Factorization of 65243

Prime factors of 65243 are 53, 1231. Prime factorization of 65243 in exponential form is:

65243 = 531 × 12311

Now multiplying the highest exponent prime factors to calculate the LCM of 65230 and 65243.

LCM(65230,65243) = 21 × 51 × 111 × 5931 × 531 × 12311
LCM(65230,65243) = 4255800890