What is the Least Common Multiple of 46598 and 46618?

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 46598 and 46618 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46598 and 46618, than apply into the LCM equation.

GCF(46598,46618) = 2
LCM(46598,46618) = ( 46598 × 46618) / 2
LCM(46598,46618) = 2172305564 / 2
LCM(46598,46618) = 1086152782

Least Common Multiple (LCM) of 46598 and 46618 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46598 and 46618. First we will calculate the prime factors of 46598 and 46618.

Prime Factorization of 46598

Prime Factorization of 46618

Now multiplying the highest exponent prime factors to calculate the LCM of 46598 and 46618.

LCM(46598,46618) = 2¹ × 23¹ × 1013¹ × 11¹ × 13¹ × 163¹
LCM(46598,46618) = 1086152782