What is the Least Common Multiple of 46338 and 46346?

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 46346 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 46346, than apply into the LCM equation.

GCF(46338,46346) = 2
LCM(46338,46346) = ( 46338 × 46346) / 2
LCM(46338,46346) = 2147580948 / 2
LCM(46338,46346) = 1073790474

Least Common Multiple (LCM) of 46338 and 46346 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46338 and 46346. First we will calculate the prime factors of 46338 and 46346.

Prime Factorization of 46338

Prime Factorization of 46346

Now multiplying the highest exponent prime factors to calculate the LCM of 46338 and 46346.

LCM(46338,46346) = 2¹ × 3¹ × 7723¹ × 23173¹
LCM(46338,46346) = 1073790474