What is the Least Common Multiple of 46854 and 46872?

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 46872 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 46872, than apply into the LCM equation.

GCF(46854,46872) = 18
LCM(46854,46872) = ( 46854 × 46872) / 18
LCM(46854,46872) = 2196140688 / 18
LCM(46854,46872) = 122007816

Least Common Multiple (LCM) of 46854 and 46872 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46854 and 46872. First we will calculate the prime factors of 46854 and 46872.

Prime Factorization of 46854

Prime Factorization of 46872

Now multiplying the highest exponent prime factors to calculate the LCM of 46854 and 46872.

LCM(46854,46872) = 2³ × 3³ × 19¹ × 137¹ × 7¹ × 31¹
LCM(46854,46872) = 122007816