What is the Least Common Multiple of 46296 and 46313?

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 46313 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 46313, than apply into the LCM equation.

GCF(46296,46313) = 1
LCM(46296,46313) = ( 46296 × 46313) / 1
LCM(46296,46313) = 2144106648 / 1
LCM(46296,46313) = 2144106648

Least Common Multiple (LCM) of 46296 and 46313 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46296 and 46313. First we will calculate the prime factors of 46296 and 46313.

Prime Factorization of 46296

Prime Factorization of 46313

Now multiplying the highest exponent prime factors to calculate the LCM of 46296 and 46313.

LCM(46296,46313) = 2³ × 3² × 643¹ × 29¹ × 1597¹
LCM(46296,46313) = 2144106648