What is the Least Common Multiple of 46838 and 46849?

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 46849 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 46849, than apply into the LCM equation.

GCF(46838,46849) = 11
LCM(46838,46849) = ( 46838 × 46849) / 11
LCM(46838,46849) = 2194313462 / 11
LCM(46838,46849) = 199483042

Least Common Multiple (LCM) of 46838 and 46849 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46838 and 46849. First we will calculate the prime factors of 46838 and 46849.

Prime Factorization of 46838

Prime Factorization of 46849

Now multiplying the highest exponent prime factors to calculate the LCM of 46838 and 46849.

LCM(46838,46849) = 2¹ × 11¹ × 2129¹ × 4259¹
LCM(46838,46849) = 199483042