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What is the Least Common Multiple of 65223 and 65229?

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 65229 is 1418143689.

LCM(65223,65229) = 1418143689

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Least Common Multiple of 65223 and 65229 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 65229, than apply into the LCM equation.

GCF(65223,65229) = 3
LCM(65223,65229) = ( 65223 × 65229) / 3
LCM(65223,65229) = 4254431067 / 3
LCM(65223,65229) = 1418143689

Least Common Multiple (LCM) of 65223 and 65229 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65223 and 65229. First we will calculate the prime factors of 65223 and 65229.

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 65229

Prime factors of 65229 are 3, 17, 1279. Prime factorization of 65229 in exponential form is:

65229 = 31 × 171 × 12791

Now multiplying the highest exponent prime factors to calculate the LCM of 65223 and 65229.

LCM(65223,65229) = 32 × 72471 × 171 × 12791
LCM(65223,65229) = 1418143689