What is the Least Common Multiple of 46331 and 46339?

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 46331 and 46339 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46331 and 46339, than apply into the LCM equation.

GCF(46331,46339) = 1
LCM(46331,46339) = ( 46331 × 46339) / 1
LCM(46331,46339) = 2146932209 / 1
LCM(46331,46339) = 2146932209

Least Common Multiple (LCM) of 46331 and 46339 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46331 and 46339. First we will calculate the prime factors of 46331 and 46339.

Prime Factorization of 46331

Prime Factorization of 46339

Now multiplying the highest exponent prime factors to calculate the LCM of 46331 and 46339.

LCM(46331,46339) = 107¹ × 433¹ × 149¹ × 311¹
LCM(46331,46339) = 2146932209