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What is the Least Common Multiple of 69263 and 69273?

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 69263 and 69273 is 4798055799.

LCM(69263,69273) = 4798055799

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Least Common Multiple of 69263 and 69273 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69263 and 69273, than apply into the LCM equation.

GCF(69263,69273) = 1
LCM(69263,69273) = ( 69263 × 69273) / 1
LCM(69263,69273) = 4798055799 / 1
LCM(69263,69273) = 4798055799

Least Common Multiple (LCM) of 69263 and 69273 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69263 and 69273. First we will calculate the prime factors of 69263 and 69273.

Prime Factorization of 69263

Prime factors of 69263 are 69263. Prime factorization of 69263 in exponential form is:

69263 = 692631

Prime Factorization of 69273

Prime factors of 69273 are 3, 43, 179. Prime factorization of 69273 in exponential form is:

69273 = 32 × 431 × 1791

Now multiplying the highest exponent prime factors to calculate the LCM of 69263 and 69273.

LCM(69263,69273) = 692631 × 32 × 431 × 1791
LCM(69263,69273) = 4798055799