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What is the Least Common Multiple of 46319 and 46334?

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 46319 and 46334 is 2146144546.

LCM(46319,46334) = 2146144546

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Least Common Multiple of 46319 and 46334 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46319 and 46334, than apply into the LCM equation.

GCF(46319,46334) = 1
LCM(46319,46334) = ( 46319 × 46334) / 1
LCM(46319,46334) = 2146144546 / 1
LCM(46319,46334) = 2146144546

Least Common Multiple (LCM) of 46319 and 46334 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46319 and 46334. First we will calculate the prime factors of 46319 and 46334.

Prime Factorization of 46319

Prime factors of 46319 are 7, 13, 509. Prime factorization of 46319 in exponential form is:

46319 = 71 × 131 × 5091

Prime Factorization of 46334

Prime factors of 46334 are 2, 23167. Prime factorization of 46334 in exponential form is:

46334 = 21 × 231671

Now multiplying the highest exponent prime factors to calculate the LCM of 46319 and 46334.

LCM(46319,46334) = 71 × 131 × 5091 × 21 × 231671
LCM(46319,46334) = 2146144546