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What is the Least Common Multiple of 46317 and 46332?

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 46332 is 715319748.

LCM(46317,46332) = 715319748

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Least Common Multiple of 46317 and 46332 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 46332, than apply into the LCM equation.

GCF(46317,46332) = 3
LCM(46317,46332) = ( 46317 × 46332) / 3
LCM(46317,46332) = 2145959244 / 3
LCM(46317,46332) = 715319748

Least Common Multiple (LCM) of 46317 and 46332 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46317 and 46332. First we will calculate the prime factors of 46317 and 46332.

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 46332

Prime factors of 46332 are 2, 3, 11, 13. Prime factorization of 46332 in exponential form is:

46332 = 22 × 34 × 111 × 131

Now multiplying the highest exponent prime factors to calculate the LCM of 46317 and 46332.

LCM(46317,46332) = 34 × 154391 × 22 × 111 × 131
LCM(46317,46332) = 715319748