What is the Least Common Multiple of 46296 and 46316?

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 46296 and 46316 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46296 and 46316, than apply into the LCM equation.

GCF(46296,46316) = 4
LCM(46296,46316) = ( 46296 × 46316) / 4
LCM(46296,46316) = 2144245536 / 4
LCM(46296,46316) = 536061384

Least Common Multiple (LCM) of 46296 and 46316 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46296 and 46316. First we will calculate the prime factors of 46296 and 46316.

Prime Factorization of 46296

Prime Factorization of 46316

Now multiplying the highest exponent prime factors to calculate the LCM of 46296 and 46316.

LCM(46296,46316) = 2³ × 3² × 643¹ × 11579¹
LCM(46296,46316) = 536061384