What is the Least Common Multiple of 46452 and 46472?

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 46452 and 46472 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46452 and 46472, than apply into the LCM equation.

GCF(46452,46472) = 4
LCM(46452,46472) = ( 46452 × 46472) / 4
LCM(46452,46472) = 2158717344 / 4
LCM(46452,46472) = 539679336

Least Common Multiple (LCM) of 46452 and 46472 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46452 and 46472. First we will calculate the prime factors of 46452 and 46472.

Prime Factorization of 46452

Prime Factorization of 46472

Now multiplying the highest exponent prime factors to calculate the LCM of 46452 and 46472.

LCM(46452,46472) = 2³ × 3¹ × 7² × 79¹ × 37¹ × 157¹
LCM(46452,46472) = 539679336