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What is the Least Common Multiple of 46317 and 46329?

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 46317 and 46329 is 715273431.

LCM(46317,46329) = 715273431

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Least Common Multiple of 46317 and 46329 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46317 and 46329, than apply into the LCM equation.

GCF(46317,46329) = 3
LCM(46317,46329) = ( 46317 × 46329) / 3
LCM(46317,46329) = 2145820293 / 3
LCM(46317,46329) = 715273431

Least Common Multiple (LCM) of 46317 and 46329 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46317 and 46329. First we will calculate the prime factors of 46317 and 46329.

Prime Factorization of 46317

Prime factors of 46317 are 3, 15439. Prime factorization of 46317 in exponential form is:

46317 = 31 × 154391

Prime Factorization of 46329

Prime factors of 46329 are 3, 15443. Prime factorization of 46329 in exponential form is:

46329 = 31 × 154431

Now multiplying the highest exponent prime factors to calculate the LCM of 46317 and 46329.

LCM(46317,46329) = 31 × 154391 × 154431
LCM(46317,46329) = 715273431