What is the Least Common Multiple of 46588 and 46593?

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 46588 and 46593 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46588 and 46593, than apply into the LCM equation.

GCF(46588,46593) = 1
LCM(46588,46593) = ( 46588 × 46593) / 1
LCM(46588,46593) = 2170674684 / 1
LCM(46588,46593) = 2170674684

Least Common Multiple (LCM) of 46588 and 46593 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46588 and 46593. First we will calculate the prime factors of 46588 and 46593.

Prime Factorization of 46588

Prime Factorization of 46593

Now multiplying the highest exponent prime factors to calculate the LCM of 46588 and 46593.

LCM(46588,46593) = 2² × 19¹ × 613¹ × 3² × 31¹ × 167¹
LCM(46588,46593) = 2170674684