What is the Least Common Multiple of 46704 and 46722?

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 46722 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 46722, than apply into the LCM equation.

GCF(46704,46722) = 6
LCM(46704,46722) = ( 46704 × 46722) / 6
LCM(46704,46722) = 2182104288 / 6
LCM(46704,46722) = 363684048

Least Common Multiple (LCM) of 46704 and 46722 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46704 and 46722. First we will calculate the prime factors of 46704 and 46722.

Prime Factorization of 46704

Prime Factorization of 46722

Now multiplying the highest exponent prime factors to calculate the LCM of 46704 and 46722.

LCM(46704,46722) = 2⁴ × 3¹ × 7¹ × 139¹ × 13¹ × 599¹
LCM(46704,46722) = 363684048