What is the Least Common Multiple of 46596 and 46605?

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 46596 and 46605 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46596 and 46605, than apply into the LCM equation.

GCF(46596,46605) = 3
LCM(46596,46605) = ( 46596 × 46605) / 3
LCM(46596,46605) = 2171606580 / 3
LCM(46596,46605) = 723868860

Least Common Multiple (LCM) of 46596 and 46605 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46596 and 46605. First we will calculate the prime factors of 46596 and 46605.

Prime Factorization of 46596

Prime Factorization of 46605

Now multiplying the highest exponent prime factors to calculate the LCM of 46596 and 46605.

LCM(46596,46605) = 2² × 3¹ × 11¹ × 353¹ × 5¹ × 13¹ × 239¹
LCM(46596,46605) = 723868860