What is the Least Common Multiple of 46085 and 46100?

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 46085 and 46100 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46085 and 46100, than apply into the LCM equation.

GCF(46085,46100) = 5
LCM(46085,46100) = ( 46085 × 46100) / 5
LCM(46085,46100) = 2124518500 / 5
LCM(46085,46100) = 424903700

Least Common Multiple (LCM) of 46085 and 46100 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46085 and 46100. First we will calculate the prime factors of 46085 and 46100.

Prime Factorization of 46085

Prime Factorization of 46100

Now multiplying the highest exponent prime factors to calculate the LCM of 46085 and 46100.

LCM(46085,46100) = 5² × 13¹ × 709¹ × 2² × 461¹
LCM(46085,46100) = 424903700