What is the Least Common Multiple of 46593 and 46602?

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 46593 and 46602 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46593 and 46602, than apply into the LCM equation.

GCF(46593,46602) = 9
LCM(46593,46602) = ( 46593 × 46602) / 9
LCM(46593,46602) = 2171326986 / 9
LCM(46593,46602) = 241258554

Least Common Multiple (LCM) of 46593 and 46602 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46593 and 46602. First we will calculate the prime factors of 46593 and 46602.

Prime Factorization of 46593

Prime Factorization of 46602

Now multiplying the highest exponent prime factors to calculate the LCM of 46593 and 46602.

LCM(46593,46602) = 3³ × 31¹ × 167¹ × 2¹ × 863¹
LCM(46593,46602) = 241258554