What is the Least Common Multiple of 46100 and 46112?

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 46100 and 46112 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46100 and 46112, than apply into the LCM equation.

GCF(46100,46112) = 4
LCM(46100,46112) = ( 46100 × 46112) / 4
LCM(46100,46112) = 2125763200 / 4
LCM(46100,46112) = 531440800

Least Common Multiple (LCM) of 46100 and 46112 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46100 and 46112. First we will calculate the prime factors of 46100 and 46112.

Prime Factorization of 46100

Prime Factorization of 46112

Now multiplying the highest exponent prime factors to calculate the LCM of 46100 and 46112.

LCM(46100,46112) = 2⁵ × 5² × 461¹ × 11¹ × 131¹
LCM(46100,46112) = 531440800