What is the Least Common Multiple of 46338 and 46348?

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 46348 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 46348, than apply into the LCM equation.

GCF(46338,46348) = 2
LCM(46338,46348) = ( 46338 × 46348) / 2
LCM(46338,46348) = 2147673624 / 2
LCM(46338,46348) = 1073836812

Least Common Multiple (LCM) of 46338 and 46348 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46338 and 46348. First we will calculate the prime factors of 46338 and 46348.

Prime Factorization of 46338

Prime Factorization of 46348

Now multiplying the highest exponent prime factors to calculate the LCM of 46338 and 46348.

LCM(46338,46348) = 2² × 3¹ × 7723¹ × 11587¹
LCM(46338,46348) = 1073836812