What is the Least Common Multiple of 46212 and 46227?

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 46212 and 46227 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46212 and 46227, than apply into the LCM equation.

GCF(46212,46227) = 3
LCM(46212,46227) = ( 46212 × 46227) / 3
LCM(46212,46227) = 2136242124 / 3
LCM(46212,46227) = 712080708

Least Common Multiple (LCM) of 46212 and 46227 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46212 and 46227. First we will calculate the prime factors of 46212 and 46227.

Prime Factorization of 46212

Prime Factorization of 46227

Now multiplying the highest exponent prime factors to calculate the LCM of 46212 and 46227.

LCM(46212,46227) = 2² × 3¹ × 3851¹ × 19¹ × 811¹
LCM(46212,46227) = 712080708