What is the Least Common Multiple of 46268 and 46279?

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 46268 and 46279 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46268 and 46279, than apply into the LCM equation.

GCF(46268,46279) = 1
LCM(46268,46279) = ( 46268 × 46279) / 1
LCM(46268,46279) = 2141236772 / 1
LCM(46268,46279) = 2141236772

Least Common Multiple (LCM) of 46268 and 46279 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46268 and 46279. First we will calculate the prime factors of 46268 and 46279.

Prime Factorization of 46268

Prime Factorization of 46279

Now multiplying the highest exponent prime factors to calculate the LCM of 46268 and 46279.

LCM(46268,46279) = 2² × 43¹ × 269¹ × 46279¹
LCM(46268,46279) = 2141236772