What is the Least Common Multiple of 46878 and 46898?

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 46878 and 46898 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46878 and 46898, than apply into the LCM equation.

GCF(46878,46898) = 2
LCM(46878,46898) = ( 46878 × 46898) / 2
LCM(46878,46898) = 2198484444 / 2
LCM(46878,46898) = 1099242222

Least Common Multiple (LCM) of 46878 and 46898 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46878 and 46898. First we will calculate the prime factors of 46878 and 46898.

Prime Factorization of 46878

Prime Factorization of 46898

Now multiplying the highest exponent prime factors to calculate the LCM of 46878 and 46898.

LCM(46878,46898) = 2¹ × 3¹ × 13¹ × 601¹ × 131¹ × 179¹
LCM(46878,46898) = 1099242222