What is the Least Common Multiple of 46338 and 46343?

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 of 46338 and 46343 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46338 and 46343, than apply into the LCM equation.

GCF(46338,46343) = 1
LCM(46338,46343) = ( 46338 × 46343) / 1
LCM(46338,46343) = 2147441934 / 1
LCM(46338,46343) = 2147441934

Least Common Multiple (LCM) of 46338 and 46343 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46338 and 46343. First we will calculate the prime factors of 46338 and 46343.

Prime Factorization of 46338

Prime Factorization of 46343

Now multiplying the highest exponent prime factors to calculate the LCM of 46338 and 46343.

LCM(46338,46343) = 2¹ × 3¹ × 7723¹ × 11² × 383¹
LCM(46338,46343) = 2147441934