What is the Least Common Multiple of 46704 and 46724?

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 46704 and 46724 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46704 and 46724, than apply into the LCM equation.

GCF(46704,46724) = 4
LCM(46704,46724) = ( 46704 × 46724) / 4
LCM(46704,46724) = 2182197696 / 4
LCM(46704,46724) = 545549424

Least Common Multiple (LCM) of 46704 and 46724 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46704 and 46724. First we will calculate the prime factors of 46704 and 46724.

Prime Factorization of 46704

Prime Factorization of 46724

Now multiplying the highest exponent prime factors to calculate the LCM of 46704 and 46724.

LCM(46704,46724) = 2⁴ × 3¹ × 7¹ × 139¹ × 11681¹
LCM(46704,46724) = 545549424