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What is the Least Common Multiple of 65223 and 65241?

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 65223 and 65241 is 472801527.

LCM(65223,65241) = 472801527

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Least Common Multiple of 65223 and 65241 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65223 and 65241, than apply into the LCM equation.

GCF(65223,65241) = 9
LCM(65223,65241) = ( 65223 × 65241) / 9
LCM(65223,65241) = 4255213743 / 9
LCM(65223,65241) = 472801527

Least Common Multiple (LCM) of 65223 and 65241 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65223 and 65241. First we will calculate the prime factors of 65223 and 65241.

Prime Factorization of 65223

Prime factors of 65223 are 3, 7247. Prime factorization of 65223 in exponential form is:

65223 = 32 × 72471

Prime Factorization of 65241

Prime factors of 65241 are 3, 11, 659. Prime factorization of 65241 in exponential form is:

65241 = 32 × 111 × 6591

Now multiplying the highest exponent prime factors to calculate the LCM of 65223 and 65241.

LCM(65223,65241) = 32 × 72471 × 111 × 6591
LCM(65223,65241) = 472801527