What is the Least Common Multiple of 46764 and 46768?

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 46764 and 46768 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46764 and 46768, than apply into the LCM equation.

GCF(46764,46768) = 4
LCM(46764,46768) = ( 46764 × 46768) / 4
LCM(46764,46768) = 2187058752 / 4
LCM(46764,46768) = 546764688

Least Common Multiple (LCM) of 46764 and 46768 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46764 and 46768. First we will calculate the prime factors of 46764 and 46768.

Prime Factorization of 46764

Prime Factorization of 46768

Now multiplying the highest exponent prime factors to calculate the LCM of 46764 and 46768.

LCM(46764,46768) = 2⁴ × 3³ × 433¹ × 37¹ × 79¹
LCM(46764,46768) = 546764688