What is the Least Common Multiple of 46563 and 46578?

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 46578 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 46578, than apply into the LCM equation.

GCF(46563,46578) = 3
LCM(46563,46578) = ( 46563 × 46578) / 3
LCM(46563,46578) = 2168811414 / 3
LCM(46563,46578) = 722937138

Least Common Multiple (LCM) of 46563 and 46578 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46563 and 46578. First we will calculate the prime factors of 46563 and 46578.

Prime Factorization of 46563

Prime Factorization of 46578

Now multiplying the highest exponent prime factors to calculate the LCM of 46563 and 46578.

LCM(46563,46578) = 3¹ × 11¹ × 17¹ × 83¹ × 2¹ × 7¹ × 1109¹
LCM(46563,46578) = 722937138