What is the Least Common Multiple of 46838 and 46843?

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 46838 and 46843 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46838 and 46843, than apply into the LCM equation.

GCF(46838,46843) = 1
LCM(46838,46843) = ( 46838 × 46843) / 1
LCM(46838,46843) = 2194032434 / 1
LCM(46838,46843) = 2194032434

Least Common Multiple (LCM) of 46838 and 46843 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46838 and 46843. First we will calculate the prime factors of 46838 and 46843.

Prime Factorization of 46838

Prime Factorization of 46843

Now multiplying the highest exponent prime factors to calculate the LCM of 46838 and 46843.

LCM(46838,46843) = 2¹ × 11¹ × 2129¹ × 139¹ × 337¹
LCM(46838,46843) = 2194032434