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What is the Least Common Multiple of 46273 and 46289?

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 46273 and 46289 is 2141930897.

LCM(46273,46289) = 2141930897

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Least Common Multiple of 46273 and 46289 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46273 and 46289, than apply into the LCM equation.

GCF(46273,46289) = 1
LCM(46273,46289) = ( 46273 × 46289) / 1
LCM(46273,46289) = 2141930897 / 1
LCM(46273,46289) = 2141930897

Least Common Multiple (LCM) of 46273 and 46289 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46273 and 46289. First we will calculate the prime factors of 46273 and 46289.

Prime Factorization of 46273

Prime factors of 46273 are 46273. Prime factorization of 46273 in exponential form is:

46273 = 462731

Prime Factorization of 46289

Prime factors of 46289 are 41, 1129. Prime factorization of 46289 in exponential form is:

46289 = 411 × 11291

Now multiplying the highest exponent prime factors to calculate the LCM of 46273 and 46289.

LCM(46273,46289) = 462731 × 411 × 11291
LCM(46273,46289) = 2141930897