What is the Least Common Multiple of 46576 and 46594?

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 46576 and 46594 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46576 and 46594, than apply into the LCM equation.

GCF(46576,46594) = 2
LCM(46576,46594) = ( 46576 × 46594) / 2
LCM(46576,46594) = 2170162144 / 2
LCM(46576,46594) = 1085081072

Least Common Multiple (LCM) of 46576 and 46594 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46576 and 46594. First we will calculate the prime factors of 46576 and 46594.

Prime Factorization of 46576

Prime Factorization of 46594

Now multiplying the highest exponent prime factors to calculate the LCM of 46576 and 46594.

LCM(46576,46594) = 2⁴ × 41¹ × 71¹ × 23297¹
LCM(46576,46594) = 1085081072