What is the Least Common Multiple of 46854 and 46859?

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 46854 and 46859 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46854 and 46859, than apply into the LCM equation.

GCF(46854,46859) = 1
LCM(46854,46859) = ( 46854 × 46859) / 1
LCM(46854,46859) = 2195531586 / 1
LCM(46854,46859) = 2195531586

Least Common Multiple (LCM) of 46854 and 46859 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46854 and 46859. First we will calculate the prime factors of 46854 and 46859.

Prime Factorization of 46854

Prime Factorization of 46859

Now multiplying the highest exponent prime factors to calculate the LCM of 46854 and 46859.

LCM(46854,46859) = 2¹ × 3² × 19¹ × 137¹ × 47¹ × 997¹
LCM(46854,46859) = 2195531586