What is the Least Common Multiple of 46857 and 46866?

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 46857 and 46866 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46857 and 46866, than apply into the LCM equation.

GCF(46857,46866) = 3
LCM(46857,46866) = ( 46857 × 46866) / 3
LCM(46857,46866) = 2196000162 / 3
LCM(46857,46866) = 732000054

Least Common Multiple (LCM) of 46857 and 46866 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46857 and 46866. First we will calculate the prime factors of 46857 and 46866.

Prime Factorization of 46857

Prime Factorization of 46866

Now multiplying the highest exponent prime factors to calculate the LCM of 46857 and 46866.

LCM(46857,46866) = 3¹ × 15619¹ × 2¹ × 73¹ × 107¹
LCM(46857,46866) = 732000054