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What is the Least Common Multiple of 46361 and 46365?

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 46361 and 46365 is 2149527765.

LCM(46361,46365) = 2149527765

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Least Common Multiple of 46361 and 46365 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46361 and 46365, than apply into the LCM equation.

GCF(46361,46365) = 1
LCM(46361,46365) = ( 46361 × 46365) / 1
LCM(46361,46365) = 2149527765 / 1
LCM(46361,46365) = 2149527765

Least Common Multiple (LCM) of 46361 and 46365 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46361 and 46365. First we will calculate the prime factors of 46361 and 46365.

Prime Factorization of 46361

Prime factors of 46361 are 7, 37, 179. Prime factorization of 46361 in exponential form is:

46361 = 71 × 371 × 1791

Prime Factorization of 46365

Prime factors of 46365 are 3, 5, 11, 281. Prime factorization of 46365 in exponential form is:

46365 = 31 × 51 × 111 × 2811

Now multiplying the highest exponent prime factors to calculate the LCM of 46361 and 46365.

LCM(46361,46365) = 71 × 371 × 1791 × 31 × 51 × 111 × 2811
LCM(46361,46365) = 2149527765