What is the Least Common Multiple of 46845 and 46860?

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 46845 and 46860 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46845 and 46860, than apply into the LCM equation.

GCF(46845,46860) = 15
LCM(46845,46860) = ( 46845 × 46860) / 15
LCM(46845,46860) = 2195156700 / 15
LCM(46845,46860) = 146343780

Least Common Multiple (LCM) of 46845 and 46860 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46845 and 46860. First we will calculate the prime factors of 46845 and 46860.

Prime Factorization of 46845

Prime Factorization of 46860

Now multiplying the highest exponent prime factors to calculate the LCM of 46845 and 46860.

LCM(46845,46860) = 3³ × 5¹ × 347¹ × 2² × 11¹ × 71¹
LCM(46845,46860) = 146343780