What is the Least Common Multiple of 46589 and 46596?

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 46589 and 46596 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46589 and 46596, than apply into the LCM equation.

GCF(46589,46596) = 1
LCM(46589,46596) = ( 46589 × 46596) / 1
LCM(46589,46596) = 2170861044 / 1
LCM(46589,46596) = 2170861044

Least Common Multiple (LCM) of 46589 and 46596 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46589 and 46596. First we will calculate the prime factors of 46589 and 46596.

Prime Factorization of 46589

Prime Factorization of 46596

Now multiplying the highest exponent prime factors to calculate the LCM of 46589 and 46596.

LCM(46589,46596) = 46589¹ × 2² × 3¹ × 11¹ × 353¹
LCM(46589,46596) = 2170861044