What is the Least Common Multiple of 46356 and 46372?

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 46356 and 46372 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46356 and 46372, than apply into the LCM equation.

GCF(46356,46372) = 4
LCM(46356,46372) = ( 46356 × 46372) / 4
LCM(46356,46372) = 2149620432 / 4
LCM(46356,46372) = 537405108

Least Common Multiple (LCM) of 46356 and 46372 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46356 and 46372. First we will calculate the prime factors of 46356 and 46372.

Prime Factorization of 46356

Prime Factorization of 46372

Now multiplying the highest exponent prime factors to calculate the LCM of 46356 and 46372.

LCM(46356,46372) = 2² × 3¹ × 3863¹ × 11593¹
LCM(46356,46372) = 537405108