What is the Least Common Multiple of 46319 and 46338?

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 46319 and 46338 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 46338, than apply into the LCM equation.

GCF(46319,46338) = 1
LCM(46319,46338) = ( 46319 × 46338) / 1
LCM(46319,46338) = 2146329822 / 1
LCM(46319,46338) = 2146329822

Least Common Multiple (LCM) of 46319 and 46338 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46319 and 46338. First we will calculate the prime factors of 46319 and 46338.

Prime Factorization of 46319

Prime Factorization of 46338

Now multiplying the highest exponent prime factors to calculate the LCM of 46319 and 46338.

LCM(46319,46338) = 7¹ × 13¹ × 509¹ × 2¹ × 3¹ × 7723¹
LCM(46319,46338) = 2146329822