What is the Least Common Multiple of 46563 and 46581?

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 46563 and 46581 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46563 and 46581, than apply into the LCM equation.

GCF(46563,46581) = 3
LCM(46563,46581) = ( 46563 × 46581) / 3
LCM(46563,46581) = 2168951103 / 3
LCM(46563,46581) = 722983701

Least Common Multiple (LCM) of 46563 and 46581 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46563 and 46581. First we will calculate the prime factors of 46563 and 46581.

Prime Factorization of 46563

Prime Factorization of 46581

Now multiplying the highest exponent prime factors to calculate the LCM of 46563 and 46581.

LCM(46563,46581) = 3¹ × 11¹ × 17¹ × 83¹ × 15527¹
LCM(46563,46581) = 722983701