What is the Least Common Multiple of 46856 and 46869?

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 46856 and 46869 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46856 and 46869, than apply into the LCM equation.

GCF(46856,46869) = 1
LCM(46856,46869) = ( 46856 × 46869) / 1
LCM(46856,46869) = 2196093864 / 1
LCM(46856,46869) = 2196093864

Least Common Multiple (LCM) of 46856 and 46869 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46856 and 46869. First we will calculate the prime factors of 46856 and 46869.

Prime Factorization of 46856

Prime Factorization of 46869

Now multiplying the highest exponent prime factors to calculate the LCM of 46856 and 46869.

LCM(46856,46869) = 2³ × 5857¹ × 3¹ × 17¹ × 919¹
LCM(46856,46869) = 2196093864